PE4MA Division

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Questions and Answers

What is the quotient of 68 divided by 2?

  • 30
  • 36
  • 34 (correct)
  • 32

When dividing 245 by 5, what is the first step used?

  • Write 5 in the divisor
  • Take 24 and divide by 5 (correct)
  • Divide 2 by 5
  • Regroup 4 into 40 ones

For 284 divided by 2, what value is written in the hundreds place?

  • 1
  • 4
  • 2 (correct)
  • 0

What is the result when dividing 384 by 12?

<p>32 (A)</p> Signup and view all the answers

What is the correct step to perform after dividing 3 by 12 when calculating 384 ÷ 12?

<p>Regroup the remainder (A)</p> Signup and view all the answers

What is 70 divided by 7?

<p>10 (D)</p> Signup and view all the answers

Which of the following is a divisor in the problem 96 ÷ 6?

<p>6 (C)</p> Signup and view all the answers

How is the quotient determined in a division problem?

<p>By dividing the dividend by the divisor (D)</p> Signup and view all the answers

What is the first digit you consider when performing division from left to right?

<p>The first digit of the number (D)</p> Signup and view all the answers

If 275 is divided by 5, which is the correct quotient?

<p>55 (D)</p> Signup and view all the answers

What is the quotient when 69 is divided by 3?

<p>23 (A)</p> Signup and view all the answers

In the division 80)8080, what is the correct result?

<p>101 (A)</p> Signup and view all the answers

What is the quotient obtained from dividing 561672 by 696?

<p>807 (A)</p> Signup and view all the answers

What is the remainder when 82 is divided by 6?

<p>4 (A)</p> Signup and view all the answers

In the division 12)573, what is the final remainder?

<p>9 (C)</p> Signup and view all the answers

What is the quotient when dividing 14262 by 23?

<p>620 (B)</p> Signup and view all the answers

What is the quotient and remainder for the division of 10000 by 25?

<p>400 remainder 0 (C)</p> Signup and view all the answers

If you divide 23400 by 78, what is the quotient?

<p>300 (C)</p> Signup and view all the answers

What is the quotient and remainder when 148 is divided by 7?

<p>21 and 1 (C)</p> Signup and view all the answers

What is the result of dividing 866 by 27?

<p>32 and 2 (C)</p> Signup and view all the answers

What is the first step when dividing 82 by 6?

<p>Divide 8 by 6 (B)</p> Signup and view all the answers

In the exercise, what is the result when dividing 660 by 6?

<p>110 remainder 0 (B)</p> Signup and view all the answers

What number of chickens does each farmer receive if 1,625 chickens are shared among 13 farmers?

<p>125 (B)</p> Signup and view all the answers

How many sacks did each village receive if 133,700 sacks of maize are distributed among 50 villages?

<p>2,674 (B)</p> Signup and view all the answers

What is the result of dividing 3954 by 48?

<p>81 and 18 (B)</p> Signup and view all the answers

When 639 is divided by 12, what is the quotient?

<p>54 (B)</p> Signup and view all the answers

If 255,812 oranges are distributed among 1,279 pupils, how many oranges will each pupil receive?

<p>199 (D)</p> Signup and view all the answers

How many trees would each primary school plant if 446,400 trees are planted among 24 schools?

<p>18,600 (B)</p> Signup and view all the answers

What is the remainder when 1,600 is divided by 13?

<p>1 (C)</p> Signup and view all the answers

How many papers did each pupil receive if a teacher distributed 414 papers among 60 pupils?

<p>7 (C)</p> Signup and view all the answers

If 955 sacks of maize were distributed equally among 40 households, how many sacks did each household receive?

<p>20 (A)</p> Signup and view all the answers

On average, how many tiles does each factory produce per day if 50 factories produce 80,000 tiles daily?

<p>1 (B), 1 (D)</p> Signup and view all the answers

How many books did each school receive if 99,000 books were distributed equally among 200 schools?

<p>500 (B)</p> Signup and view all the answers

If 100,800 chalks are packed equally into 700 boxes, how many chalks will each box contain?

<p>141 (D)</p> Signup and view all the answers

If 986 pineapples were shared equally among 24 members of a cooperative society, how many pineapples will be left over?

<p>4 (C)</p> Signup and view all the answers

How many pens does a businessperson sell daily if they sold 455,000 pens in 14 days?

<p>32 (B)</p> Signup and view all the answers

How many iron sheets were used by each school if classrooms in 30 schools were renovated using 136,890 iron sheets?

<p>5 (D)</p> Signup and view all the answers

How many exercise books did each pupil receive if a teacher distributed 508 exercise books among 95 pupils?

<p>7 (A)</p> Signup and view all the answers

How many oranges does each pupil receive if a teacher distributes 305 oranges among 35 pupils?

<p>8 (C)</p> Signup and view all the answers

When 25240 is divided by 21, what is the quotient?

<p>1170 (A)</p> Signup and view all the answers

If 4006 is divided by 12, what will be the remainder?

<p>4 (C)</p> Signup and view all the answers

In the equation 8806)880890, what is the quotient?

<p>100 (D)</p> Signup and view all the answers

What is the result when dividing 72507 by 1450?

<p>49 (C)</p> Signup and view all the answers

If 819 is divided by 27, what will be the quotient?

<p>29 (B)</p> Signup and view all the answers

What is the term for the number being divided in a division problem?

<p>Dividend (A)</p> Signup and view all the answers

In the division 245 ÷ 5, what value is first written in the tens place of the quotient?

<p>4 (C)</p> Signup and view all the answers

What is the correct way to regroup 4 when dividing 245 by 5?

<p>Add it to the ones place as 40. (C)</p> Signup and view all the answers

When dividing 384 by 12, what is the total obtained after adding the regrouped amount?

<p>30 (B)</p> Signup and view all the answers

In the division of 284 by 2, what number is written in the ones place after completing the division?

<p>2 (C)</p> Signup and view all the answers

Which step is NOT part of using the short method for division without remainders?

<p>Subtraction. (B)</p> Signup and view all the answers

When 69 is divided by 3, what digit is written in the tens place of the quotient?

<p>2 (D)</p> Signup and view all the answers

In the long division method for 69 ÷ 3, what operation follows after the first division?

<p>Multiply and subtract from the original number. (B)</p> Signup and view all the answers

Which of the following is an example of a quotient obtained in a division problem?

<p>The result from 225 ÷ 5 (D)</p> Signup and view all the answers

When dividing 55055 by 605, what is the final quotient?

<p>91 with a remainder of 0 (A)</p> Signup and view all the answers

What number is written above the tens place when dividing 8080 by 80?

<p>1 (A)</p> Signup and view all the answers

In the division 14262 by 23, which value is the remainder?

<p>2 (B)</p> Signup and view all the answers

How many digits are above the hundreds place in the division of 561672 by 696?

<p>2 (B)</p> Signup and view all the answers

What is the quotient when dividing 66 by 6?

<p>11 (C)</p> Signup and view all the answers

When 891 is divided by 27, what is the remainder?

<p>0 (C)</p> Signup and view all the answers

What is the result of 20192 divided by 32?

<p>630 with a remainder of 12 (C)</p> Signup and view all the answers

What is the total result when 66000 is divided by 60?

<p>1100 (B)</p> Signup and view all the answers

How is the quotient of 10000 divided by 25 expressed?

<p>400 (D)</p> Signup and view all the answers

If 99,000 books are distributed equally among 200 schools, how many books does each school receive?

<p>495 (D)</p> Signup and view all the answers

What is the average number of tiles produced daily by each factory if 50 factories collectively produce 80,000 tiles?

<p>2,000 (A)</p> Signup and view all the answers

How many papers did the teacher remain with after distributing 414 papers among 60 pupils?

<p>54 (D)</p> Signup and view all the answers

If 100,800 chalks are evenly packed into 700 boxes, how many chalks are there in each box?

<p>140 (B)</p> Signup and view all the answers

If 455,000 pens are sold in 14 days, how many pens are sold each day?

<p>32,500 (D)</p> Signup and view all the answers

After sharing 986 pineapples equally among 24 members of a cooperative society, how many pineapples are left over?

<p>7 (B)</p> Signup and view all the answers

How many sacks of maize does each household receive if 955 sacks are distributed among 40 households?

<p>23 (A)</p> Signup and view all the answers

If 984,000 people cast their votes equally at 820 polling stations, how many voters were present at each station?

<p>1,200 (A)</p> Signup and view all the answers

How many iron sheets did each school use if 136,890 iron sheets were used to renovate classrooms in 30 schools?

<p>4,200 (A)</p> Signup and view all the answers

If a teacher distributed 508 exercise books among 95 pupils equally, how many exercise books did each pupil receive?

<p>6 (C)</p> Signup and view all the answers

What is the quotient when dividing 80 by 80 in the example provided?

<p>1 (D)</p> Signup and view all the answers

In the division of 82 by 6, what is the first quotient written beneath the 8?

<p>1 (B)</p> Signup and view all the answers

When dividing 573 by 12, what is the number obtained after the first division?

<p>4 (B)</p> Signup and view all the answers

In the example 696)561672, what does the final quotient represent?

<p>807 (A)</p> Signup and view all the answers

What remainder is obtained when dividing 82 by 6 in the given examples?

<p>4 (B)</p> Signup and view all the answers

In the division 12)573, what is the second quotient calculated after taking the remainder?

<p>7 (C)</p> Signup and view all the answers

When calculating the division of 14262 by 23, what is the remainder given?

<p>2 (B)</p> Signup and view all the answers

In the example 605)55055, what is the quotient resulting from the division?

<p>91 (A)</p> Signup and view all the answers

In the division problem 80)8080, what digit is written above the ones place during the calculation?

<p>1 (C)</p> Signup and view all the answers

When dividing 660 by 6, what is the result obtained?

<p>110 (D)</p> Signup and view all the answers

If a total of 136,890 iron sheets were used in 30 schools, how many iron sheets did each school use?

<p>4,566 (D)</p> Signup and view all the answers

What is the average daily sale of pens for a businessperson that sold 455,000 pens over 14 days?

<p>32,500 (D)</p> Signup and view all the answers

How many tiles does each factory produce daily if an average of 50 factories produce 80,000 tiles?

<p>1,600 (C)</p> Signup and view all the answers

How many pens does the businessperson sell each day if they sold 455,000 pens in 14 days?

<p>32,500 (C)</p> Signup and view all the answers

What is the result when 100,800 chalks are packed equally into 700 boxes?

<p>144 (A)</p> Signup and view all the answers

How many residents are present at each polling station if 984,000 people cast their votes equally at 820 stations?

<p>1,200 (A)</p> Signup and view all the answers

When distributing 508 exercise books among 95 pupils, how many exercise books does each pupil receive?

<p>5 (B)</p> Signup and view all the answers

If 3,234 is divided by 16, what is the quotient?

<p>203 (B)</p> Signup and view all the answers

When dividing 880890 by 8806, what is the correct final answer and remainder?

<p>100 and 290 (A)</p> Signup and view all the answers

If a teacher distributes 305 oranges among 35 pupils, how many oranges does each pupil receive and how many remain with the teacher?

<p>8 and 25 (A)</p> Signup and view all the answers

When calculating the division 15397 ÷ 25, what is the quotient and remainder?

<p>615 and 22 (A)</p> Signup and view all the answers

What is the result of dividing 467 by 6 using the long method?

<p>78 and 4 (C)</p> Signup and view all the answers

In the division 255812 by 1279, what are the resulting quotient and remainder?

<p>199 and 80 (D)</p> Signup and view all the answers

How many sacks of maize does each village get if 133700 sacks are shared among 50 villages?

<p>2674 and 0 (B)</p> Signup and view all the answers

What is the quotient when dividing 159610 by 35?

<p>4566 and 20 (D)</p> Signup and view all the answers

When dividing 40104 by 200, what is the quotient and remainder?

<p>200 and 4 (B)</p> Signup and view all the answers

What is the quotient and remainder when 1720 is divided by 340?

<p>5 and 0 (A)</p> Signup and view all the answers

What role does the dividend play in a division problem?

<p>It is the number being divided. (D)</p> Signup and view all the answers

When using the short method for division without remainders, how is the digit in the tens place determined?

<p>By dividing the tens place of the dividend first. (D)</p> Signup and view all the answers

Which statement incorrectly describes the regrouping process in division?

<p>Regrouping is applicable only in long division. (D)</p> Signup and view all the answers

In the long method division of 69 ÷ 3, what is the first subtraction performed during the calculation?

<p>6 - 0 (B)</p> Signup and view all the answers

What could result from dividing a whole number if the dividend is smaller than the divisor?

<p>A quotient of zero. (B)</p> Signup and view all the answers

What is the final quotient when dividing 245 by 5 using the explained short method?

<p>49 (C)</p> Signup and view all the answers

Which of the following is NOT a step in the short method of whole number division without remainders?

<p>Subtract after every division without regrouping. (B)</p> Signup and view all the answers

In the division example of 286 ÷ 2, which statement reflects the regrouping step correctly?

<p>Regrouping entails converting the tens into ones for accurate calculation. (B)</p> Signup and view all the answers

What is the result of adding 4 ones and regaining a total of 45 before dividing by 5 in 245 ÷ 5?

<p>45 (A)</p> Signup and view all the answers

When determining how many times 12 can fit into 38 during the division of 384, what are the correct next steps taken?

<p>Calculate 3 as the maximum followed by regrouping any residual. (C)</p> Signup and view all the answers

What is the first value obtained after regrouping when dividing 245 by 5?

<p>40 (B)</p> Signup and view all the answers

In the division of 384 by 12, what outcome results from subtracting after multiplying the quotient digit?

<p>0 (C)</p> Signup and view all the answers

When dividing 268 by 4, what is the first subtraction after multiplying the obtained quotient?

<p>8 (A)</p> Signup and view all the answers

In the example of dividing 69 by 3, what process follows after dropping the remaining ones?

<p>Regroup the tens to ones (B)</p> Signup and view all the answers

What is the total obtained when regrouping after dividing 38 by 12 in the long division of 384?

<p>40 (A)</p> Signup and view all the answers

Flashcards

Dividend

The number being divided.

Divisor

The number you divide by.

Quotient

The answer you get when you divide.

Division with no remainder

When a number is divided by another number, the answer is a whole number with no remainder left over.

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Short method of division

A quicker way to divide using the place value system.

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Long method of division

A longer method for dividing numbers, where you divide each place value separately and subtract.

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Dividend in long method

The number that is being divided in the long method of division.

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Divisor in long method

The number that is doing the dividing in the long method of division.

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Quotient in long method

The result of dividing each place value in the long method.

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Subtracting in long method

In the long method, you subtract the product of the divisor and the quotient from the dividend.

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Remainder

The remaining part of the dividend after division.

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Long Division Method

A method of dividing numbers where the dividend is divided by the divisor one digit at a time.

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Subtracting in Long Division

A method of dividing numbers where the divisor is multiplied by the quotient and the product is subtracted from the dividend.

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Dividing by 10

Dividing a number by 10 moves the decimal one place to the left.

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Dividing by 100

Dividing by 100 moves the decimal two places to the left.

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Dividing by 1000

Dividing a number by 1000 moves the decimal three places to the left.

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Word Problem involving Division

A word problem that requires dividing to solve it.

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What is a dividend?

In division, the number being divided is called the dividend. It's the total amount you're splitting.

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What is a divisor?

In division, the number that divides the dividend is called the divisor. It's the number of parts you're splitting the dividend into.

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What is a quotient?

The result of a division is called the quotient. It's the number of times the divisor goes into the dividend.

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What is a remainder?

The remainder is the amount left over after dividing the dividend by the divisor. It's what's left when you've split the dividend equally into the divisor groups.

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What is long division?

Long division is a step-by-step method for dividing numbers. You start with the leftmost digit of the dividend and work your way to the right.

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What is 'bringing down' in long division?

In long division, you bring down digits from the dividend. These digits are brought down one by one to form a new number to be divided by the divisor.

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What is short division?

Short division is a simplified method for dividing numbers. You start with the leftmost digit of the dividend and divide by the divisor. The result is written directly underneath the dividend, and the remainder is carried over to the next digit.

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How to check if a division is correct?

To check if a division is correct, you can multiply the quotient by divisor and add the remainder. If the result is equals to the dividend, the division is correct.

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What happens when a dividend is not an exact multiple of the divisor?

When the dividend is not an exact multiple of the divisor, you will have a remainder. This means the divisor can be divided into the dividend a certain number of times, with some amount left over.

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How is the remainder represented in the final result?

The remainder is represented next to the quotient, usually separated with a 'R' for remainder, e.g., 13R4.

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What is the dividend?

The number you are dividing.

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What is the divisor?

The number you are dividing by.

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What is the quotient?

The result of dividing the dividend by the divisor.

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What is the remainder?

The amount leftover after dividing the dividend by the divisor.

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Long Division

A method of dividing where the dividend is divided by the divisor one digit at a time.

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Short Division

A method of dividing using the place value system, writing the quotient directly underneath the dividend.

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Division without a remainder

A division where the divisor goes into the dividend evenly, leaving no remainder.

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Bring down the next digit

The process of combining the remainder with the next digit of the dividend in long division.

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Dividing a larger number by a smaller number

Dividing a larger number by a smaller number to find out how many times a smaller number fits inside the larger number.

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Intermediate Number

The number you're left with after each step of a long division problem, before you bring down the next digit.

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Bringing Down

Bringing down a digit from the dividend in long division to form a new number to be divided by the divisor.

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Dividing by Powers of Ten

The process of dividing a number by 10, 100, or 1000.

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Checking division

Checking if your division is correct by multiplying the quotient by the divisor and adding the remainder.

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What's the purpose of 'bringing down' in long division?

In long division, you bring down digits from the dividend. This is done one by one, forming a new number to divide by the divisor.

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What is division with no remainder?

In division, the answer is a whole number with no remainder left over. This means the divisor divides evenly into the dividend.

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What is a word problem involving division?

A word problem that requires you to use division to find the solution.

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What is the long method of division?

A method of dividing numbers where you divide each place value separately and subtract.

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How to subtract in the long division method?

A method for dividing numbers, where you divide each place value separately and subtract from the dividend.

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What is the Long Division Method?

A method of dividing numbers where the dividend is divided by the divisor one digit at a time.

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Division with Remainder

The dividend isn't an exact multiple of the divisor, so there's some amount left over.

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Short Division Method

Method for dividing numbers using the place value system. It's a simpler way to divide.

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Writing the quotient in short division

In short division, the quotient is written directly underneath the dividend. It's a more compact method.

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Dividing each place value in long division

Each place value is divided by the divisor separately, and the result is written in the corresponding place value of the quotient.

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Intermediate number in long division

The number you're left with after each step of a long division problem, before you bring down the next digit.

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Bringing down the next digit

In long division, you bring down the next digit from the dividend to form a new number to be divided by the divisor.

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Steps of Long Division

It starts by dividing the leftmost digits of the dividend by the divisor. The quotient is written above the dividend. Then you multiply the quotient by the divisor and subtract the product from the dividend. You bring down the next digit of the dividend and repeat the process until there are no more digits to bring down.

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Word problems with division

In a word problem, you convert the words into a mathematical division problem, then solve the problem using long or short division.

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Purpose of Division

We perform division to find out how many times the divisor fits into the dividend.

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Study Notes

Division of Whole Numbers

  • Division involves dividing one whole number by another
  • Whole numbers are integers without fractions or decimals
  • The dividend is the number being divided
  • The divisor is the number used to divide
  • The quotient is the result of the division
  • Remainders are any leftover amounts after division (where the division doesn't produce a whole number result)

Division Without Remainders (Short Method)

  • Begin dividing from the leftmost digit
  • Divide the tens place, then the ones place
  • Write the result directly above the corresponding place value
  • Example: 68 divided by 2 = 34 (divide 6 tens by 2 to get 3 tens, 8 ones by 2 to get 4 ones)

Division With Remainders (Long Method)

  • Divide the dividend by the divisor as you would in long division
  • If the divisor is larger than the first few digits of the dividend, take more digits
  • Multiply the quotient by the divisor and write the result below the relevant part of the dividend
  • Subtract to get a remainder
  • If not divisible completely, the remainder will be a value less than the divisor
  • Example: 245 divided by 5 = 49 (2 is less than 5, so take 24, 24 divided by 5 equals 4 with a remainder of 4. 40+5=45, divide 45 by 5 to get 9). Example 12 divided into 384 = 32 (3 is less than 12, so take 38, 38 divided by 12 equals 3 with remainder 2. 20 + 4 equals 24. 24 divided by 12 equals 2)

Division by Short Method with Remainders

  • Divide the largest possible place value
  • Take remainder and move to the next place value
  • Write result, and remainder above the matching place values
    • Example: 82 divided by 6 = 13 remainder 4 (divide 8 tens by 6, equals 1 ten with a remainder of 2. add 20 to 2 one's = 22. Divide 22 by 6 equals 3 with a remainder of 4)

Division by Long Method with Remainders

  • Divide the numbers in a step by step manner until the remainder is smaller than the divisor
  • Identify the dividend and divisor
  • Determine the result (quotient) and remainder during each step
  • Write results and remainders above matching place values
  • Example: 82 divided by 6 = 13 remainder 4

Division by Long Method Without Remainders

  • Dividing by performing step by step instructions of long division.
  • Identify dividend and divisor.
  • The remainder will be zero.

Word Problems

  • Solve word problems using division
  • Identify the dividend and divisor in each word problem
  • Follow appropriate steps for calculation with or without remainders
  • Example: Thirteen farmers equally shared 1,625 chickens. How many chickens did each farmer get? Example: A teacher had 305 oranges. If she distributed them equally among 35 pupils, how many oranges did each pupil receive? How many oranges did the teacher remain with?

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