Long Division Calculator
This long division calculator divides one number by another and writes out every step, the way you'd do it on paper. Type a dividend and a divisor and you'll get the quotient, the remainder, and the decimal answer, plus a worked breakdown that divides, multiplies, subtracts, and brings down each digit. It's built to teach the method, not just hand you a number.
- Quotient and remainder
- Full steps shown
- Decimal answer too
- Handles big numbers
- On-paper method
Last updated June 16, 2026 Quotient, remainder, and decimal Reviewed by the Calcowa math team
Whole numbers work best for the step-by-step view. The decimal answer is shown too.
Enter a dividend and a divisor greater than zero.
125 ÷ 4 = 31 remainder 1
What is long division?
Long division is a method for dividing larger numbers by hand, one digit at a time. Instead of doing the whole division at once, you break it into a repeating loop: divide, multiply, subtract, and bring down the next digit. It turns a tricky problem into a chain of small, easy steps, which is why it'll handle numbers far too big to divide in your head.
How to do long division
Long division repeats the same four moves until you've used every digit:
- 1
DivideSee how many times the divisor goes into the current digits, and write that on top.
- 2
MultiplyMultiply that quotient digit by the divisor.
- 3
SubtractSubtract the product to find what is left.
- 4
Bring downBring down the next digit and start the loop again.
Many people remember the order with the phrase "Does McDonald's Sell Cheeseburgers": Divide, Multiply, Subtract, Check and bring down.
Remainders and decimals
When the divisor doesn't go in evenly, you're left with a remainder, the bit smaller than the divisor at the very end. You can stop there and write it as "31 R 1", which is handy for sharing things into equal groups. Or you can keep going: add a decimal point, bring down zeros, and carry on dividing to get a decimal answer like 31.25. The calculator shows the remainder and the decimal together, so you'll take whichever you need.
Dividend, divisor, and quotient
It's worth naming the parts. The dividend is the number going under the bracket, the one you're splitting up. The divisor is the number you're dividing by, sitting outside. The quotient is the answer that builds up on top, and the remainder is what's left at the end. Keeping these straight makes the steps a lot easier to follow, and once a division is just decimals, the fraction to decimal calculator handles that side too.
Frequently asked questions
Why is it called long division?
Because you write out the work the long way, step by step down the page, instead of doing it all in one line. That extra length is what lets you divide big numbers reliably without losing track.
Work left to right through the dividend. Divide the divisor into the first digit or group, write that on top, multiply back and subtract, then bring down the next digit and repeat. Keep going until every digit is used, and whatever is left at the end is the remainder. The calculator writes out each of these steps for you.
The dividend is the number you're dividing, the divisor is the number you're dividing by, the quotient is the answer on top, and the remainder is what's left over when it doesn't divide evenly. For 125 ÷ 4, the dividend is 125, the divisor is 4, the quotient is 31, and the remainder is 1.
Do the division as normal, and when the last subtraction leaves a number smaller than the divisor, that number is the remainder. You can write it as "31 R 1", or carry on with a decimal point to turn it into 31.25. The calculator shows both the remainder and the decimal.
When you reach the end and still have a remainder, add a decimal point and a zero, bring the zero down, and keep dividing. Each extra zero gives one more decimal place. So 125 ÷ 4 carries on as 31.25, which the result above works out alongside the remainder.
Zero. If the divisor goes into the dividend exactly, the final subtraction lands on 0 and there's no remainder, so the quotient is a whole number. For example 124 ÷ 4 is exactly 31 with a remainder of 0.
Yes, that's the point of it. Long division breaks a hard division into a chain of easy single-digit steps, so it works for numbers far too large to divide in your head. The calculator handles the long ones and it'll still list every step.
Related calculators
More number tools that pair well with division.
Carry a remainder to a decimal.
Fraction calculatorAdd, subtract, multiply, divide.
All math calculatorsPercent, fractions, averages, more.
Dividing big numbers?
Type a dividend and divisor above, or browse the full math hub.