Long Division Calculator — Step-by-Step with Remainders
Free long division calculator that shows every step. Divide any two whole numbers and see the quotient and remainder instantly, with remainders handled automatically.
| Bring Down Digit | Working Number | Quotient Digit | Divisor × Digit | Remainder |
|---|---|---|---|---|
| 1 | 1 | 0 | 0 | 1 |
| 8 | 18 | 1 | 12 | 6 |
| 7 | 67 | 5 | 60 | 7 |
Working left to right through each digit of 187, exactly like long division on paper — it lands on the same quotient (15) and remainder (7) as above.
- Remainder7
- Decimal Result15.583333
ƒShow your work
- 1187 = 12 × 15 + 7
About the Long Division Calculator
Long division is the step-by-step process of dividing one number by another by hand, digit by digit, rather than in one leap. It's one of the foundational arithmetic skills taught in elementary school, and it's still the method that explains exactly why a quotient and remainder come out the way they do — something a calculator's flat decimal answer skips right over.
Students use this to check their own by-hand division work or to see each individual step laid out when a problem doesn't click from the final answer alone. It's also genuinely useful any time you need an exact quotient and remainder rather than a rounded decimal — splitting a quantity into equal whole groups with some left over, for instance.
Every step of the long division algorithm follows the same simple move repeated over and over: bring down the next digit, see how many times the divisor fits, write that digit down, subtract, and carry the leftover into the next step.
How it’s calculated
At each step, the next digit of the dividend is 'brought down' and combined with whatever remainder carried over from the previous step. The divisor is checked against that combined number to see how many whole times it fits — that count becomes the next digit of the quotient.
The divisor is then multiplied by that quotient digit and subtracted from the working number, leaving a new remainder that carries into the next step. Repeating this once for every digit of the dividend eventually produces the full quotient, with whatever's left over at the very end being the final remainder.
The relationship dividend = divisor × quotient + remainder holds at every stage and is the easiest way to check the final answer: multiply the quotient back by the divisor, add the remainder, and it should return the original dividend exactly.
Frequently asked questions
What's the difference between the quotient and the remainder?
The quotient is how many whole times the divisor fits into the dividend. The remainder is whatever's left over afterward that doesn't divide in evenly — for example, 17 ÷ 5 has a quotient of 3 and a remainder of 2, since 5×3=15 and 17−15=2.
How do you check a long division answer?
Multiply the quotient by the divisor, then add the remainder — the result should exactly equal the original dividend. If it doesn't, there's an arithmetic mistake somewhere in the steps.
How do I turn the remainder into a decimal instead?
Divide the remainder by the divisor and continue the division past the decimal point (adding zeros as needed) to get the decimal form — this calculator shows both the whole-number remainder and the full decimal result side by side.
Does this work with negative numbers?
Yes — enter a negative dividend or divisor and the sign is carried through correctly in both the quotient and the decimal result.
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