Long Division Calculator With Remainders and Steps

This long division calculator divides one whole number by another and shows the work the way it is taught: bring down a digit, find how many times the divisor fits, multiply, subtract and repeat. It gives the quotient and remainder, the answer as a mixed number, the exact decimal with its repeating part marked in brackets (1 ÷ 6 = 0.1(6)), and a rounded decimal. Numbers can be hundreds of digits long — everything stays exact.

How to use this tool

1. Enter the dividend (the number being divided) and the divisor.
2. Choose how many decimal places you want in the rounded answer.
3. Read the quotient, remainder, mixed number and exact decimal.
4. Follow the step table to check your own working.

Formula

Dividend = divisor × quotient + remainder, with 0 ≤ remainder < divisor

To get the decimal, the calculator keeps dividing the remainder by the divisor after the decimal point, multiplying it by 10 each time. A fraction in lowest terms gives a terminating decimal only when the divisor has no prime factors other than 2 and 5; otherwise a remainder must eventually repeat, and the digits between the two repeats form the repeating block.

Example

1234 ÷ 7: 7 goes into 12 once (remainder 5), into 53 seven times (remainder 4), into 44 six times (remainder 2). The quotient is 176 remainder 2, which is 176 2/7. Continuing past the decimal point, 2/7 = 0.285714285714…, so 1234 ÷ 7 = 176.(285714).