456 divided by 8

Understand the Problem

The question is asking for the result of dividing 456 by 8. This is a straightforward arithmetic operation that involves finding out how many times 8 fits into 456.

Answer

The answer is $ 57 $.

Steps to Solve

Set up the division problem

We want to divide 456 by 8. This can be set up as follows: $$ 456 \div 8 $$

Perform the division

Now, we will perform the division. We can start by determining how many times 8 fits into 456.

8 fits into 45 (the first two digits of 456) five times, since: $$ 8 \times 5 = 40 $$

Subtract and bring down the next digit

After subtracting 40 from 45, we have: $$ 45 - 40 = 5 $$

Now, we bring down the next digit, which is 6, making it 56.

Divide the new number

Now we divide 56 by 8. Since: $$ 8 \times 7 = 56 $$

We can see that 8 fits into 56 exactly 7 times.

Combine the results

Now we combine our results. We found that 8 fits into 456: $$ 5 \text{ (from 45)} + 7 \text{ (from 56)} = 57 $$

So, we can write: $$ 456 \div 8 = 57 $$

The final answer is ( 57 ).

More Information

The result of dividing 456 by 8 shows that if you have 456 items and you want to evenly distribute them into groups of 8, you can create 57 groups with no items left over. Division is a fundamental operation in arithmetic used in many practical applications.

Tips

Rounding errors: Ensure to keep track of all digits in subtraction. Sometimes, students round prematurely or forget to bring down the next digit correctly.
Multiplication mistakes: When checking how many times 8 fits into the respective segments, it's essential to be accurate in calculations.

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