Long Division Calculator with Step by Step Work (2024)

What is the Quotient and Remainder for 9452 divided by 11 using long division method?

The below solved example of 4 by 2 digit long division with remainder may useful to understand how to do long division manually for assignment, classwork and homework problems.

1. Arrange the 4-digit dividend and 2-digit divisor numbers for long division method and compare if the the first two digits of dividend 9452 is bigger than the divisor 11.
2. Check how many times the divisor can be accommodated in the 94 and write the value as part of quotient. The divisor 11 can be accommodated 8-times in 94. Write 8 as the most significant digit of quotient.
3. Find the difference between 94 and product of 8 and 11, if any. 6 is the difference between 94 and 88.
4. Bring down the 3rd digit of initial dividend and append (not adding) it to the right side of remainder 6 to form the new dividend. Hence, the new dividend becomes 65
5. Compare if the new dividend 65 is greater than the divisor 11 and check how many times the divisor can be accommodated in the new dividend formed by brining down the 3rd digit. The divisor 11 can be accommodated 5-times in 65. Append the value 5 (number of times) right to the earlier quotient 8. Hence, the remainder becomes 85 now.
6. Find the difference between 65 and product of 5 and 11, if any. 10 is the difference between 65 and 55.
7. Bring down and append 4th digit 2 to the right side of earlier difference 10. Hence the new dividend becomes 102.
8. Check how many times the divisor 11 can be accommodated in the new dividend formed by brining down the 4th digit. The divisor 11 can be accommodated 9-times in 102. Append the value 9 (number of times) right to the earlier quotient 85. Hence, the remainder becomes 859 now.
9. Check for the difference between 102 and the product of 11 and 9. Due to no more digits available for bringing down, the final difference 3 is the decimal Remainder of dividend 9452 divided by 11.