Long Division Calculator · Practical guide
Long Division Calculator With Steps
Every divide, multiply, and subtract operation shown in order — not just the final answer.
At a glance
The Quick Answer
Enter a dividend and divisor above and you get four things: the quotient, the remainder, the decimal result, and a step-by-step table of the whole calculation. For example, 987 / 12 = 82 remainder 3, or 82.25 as a decimal.
Interactive tool
Long Division Calculator
Enter your own values, then compare the result with the examples below.
Division Result
Step-by-Step Work
| Step | Digit | Partial Dividend | Quotient Digit | Multiply | Subtract | Remainder |
|---|
Step-by-Step: 987 / 12
| Step | Digit Brought Down | Partial Dividend | Quotient Digit | Multiply | Remainder |
|---|---|---|---|---|---|
| 1 | 9 | 9 | 0 | 0 x 12 = 0 | 9 |
| 2 | 8 | 98 | 8 | 8 x 12 = 96 | 2 |
| 3 | 7 | 27 | 2 | 2 x 12 = 24 | 3 |
Read the quotient digits down the column: 0, 8, 2 gives 82, with a final remainder of 3.
Reading the Result
The quotient (82) is how many whole times 12 fits into 987. The remainder (3) is what is left over. The decimal result (82.25) continues the division past the decimal point — the remainder 3 out of 12 is exactly 0.25. You can verify everything with one multiplication: 12 x 82 + 3 = 984 + 3 = 987.
Why Steps Matter
Long division errors almost always hide in the middle steps — a mis-multiplied digit or a forgotten bring-down. Seeing each partial dividend and subtraction laid out makes it easy to spot exactly where a hand calculation went wrong, which is why this tool shows the full table instead of only the answer.
Frequently Asked Questions
What is the remainder of 987 divided by 12?
The remainder is 3. Since 12 x 82 = 984, the leftover amount is 987 - 984 = 3.
What happens if the dividend is smaller than the divisor?
The quotient is 0 and the remainder is the dividend itself. For example, 5 / 12 = 0 remainder 5, or 0.416667 as a decimal.
Does the calculator handle negative numbers?
Yes. It divides the absolute values step by step, then applies the correct sign to the quotient.
Is this long division calculator free?
Yes, it is completely free with no ads or registration, and all calculations run in your browser.