Long Division Calculator

Divide any two whole numbers and see the quotient and remainder, with every bring-down-and-subtract long division step shown so you can see exactly how the answer was reached.

Quotient —
Remainder —

How to Do Long Division

Enter a dividend and divisor to see the quotient, remainder, and the full worked-out division.

1

Enter the dividend and divisor

Type the number being divided (the dividend) and the number you're dividing by (the divisor), like 725 divided by 3. Both should be whole numbers, and the divisor can't be zero.

2

The calculator brings down each digit

It works through the dividend one digit at a time, forming a partial dividend, dividing by the divisor, subtracting the multiple used, and carrying the remainder into the next digit — the classic long division process.

3

Read the result and steps

The quotient and remainder appear at the top, and every bring-down step is listed below. Need the greatest common factor of two numbers instead? The GCF Calculator handles that.

Frequently Asked Questions

What is long division?
Long division is the step-by-step method for dividing one whole number (the dividend) by another (the divisor) by hand, one digit at a time. You bring down each digit of the dividend, work out how many times the divisor fits into the running partial dividend, subtract that multiple, and carry the remainder into the next digit. Repeating this until every digit has been brought down gives the quotient, with whatever is left over at the end as the remainder.
How do you find the remainder in long division?
The remainder is whatever is left over after the last digit of the dividend has been brought down and the largest possible multiple of the divisor has been subtracted from it. For example, 725 divided by 3 gives a quotient of 241 with a remainder of 2, because 3 × 241 = 723 and 725 - 723 = 2. A remainder of 0 means the dividend divides evenly.
What happens when the dividend is smaller than the divisor?
If the dividend is smaller than the divisor, the quotient is 0 and the remainder is just the dividend itself, since the divisor cannot fit into it even once. For example, 3 divided by 7 gives a quotient of 0 and a remainder of 3.
Can you divide by zero?
No. Division by zero is undefined in ordinary arithmetic, because no number multiplied by zero can produce a nonzero dividend, and any number multiplied by zero equally satisfies a dividend of zero. This calculator throws an error rather than returning a result if the divisor is 0.