195 divided by 4
Understand the Problem
The question is asking for the result of dividing 195 by 4, which is a simple arithmetic operation requiring step by step division.
Answer
$$ 48 \text{ R } 3 $$
Answer for screen readers
The final result of dividing 195 by 4 is: $$ 48 \text{ R } 3 $$
Steps to Solve
- Set up the division
To divide 195 by 4, we can set it up using long division or directly perform the division. Here, we can start by estimating how many times 4 can fit into the first part of 195.
- Divide the first digit
Look at the first digit of 195, which is 1. Since 4 does not fit into 1, we move to the next digit to make it 19. We now check how many times 4 fits into 19.
- Calculate how many times 4 fits into 19
4 fits into 19, 4 times because $4 \times 4 = 16$.
- Subtract and bring down
Subtract 16 from 19, which leaves us with 3. Now, we bring down the next digit, which is 5, making it 35.
- Divide the new number
Now we check how many times 4 fits into 35. 4 fits into 35, 8 times because $4 \times 8 = 32$.
- Final subtraction
Subtract 32 from 35, leaving us with 3. Since there are no more digits to bring down, this is the remainder.
- Write the answer
The result of the division is expressed as: $$ 195 \div 4 = 48 \text{ R } 3 $$ This means that 4 fits into 195 a total of 48 times with a remainder of 3.
The final result of dividing 195 by 4 is: $$ 48 \text{ R } 3 $$
More Information
When dividing numbers, the quotient is the whole number result (48), and the remainder indicates how much is left over (3). This division is practical when determining how many groups of a particular size can be formed from a total.
Tips
- A common mistake is forgetting to bring down the next digit after subtraction. Always ensure you include all digits as needed.
- Another mistake is miscalculating how many times the divisor fits into the portion of the dividend. Double-check multiplication to avoid errors.
