Long Division Calculator
Enter a dividend and a divisor to see the long division worked out step by step in the school bracket layout, with the quotient and remainder, the decimal answer with repeating digits, the fraction and a check.
Long division repeats four steps: divide, multiply, subtract, bring down.
Use the Long Division Calculator
Enter Numbers
Quick Examples
Enter a dividend and divisor, then click Calculate to see the step-by-step long division.
Quotient
Remainder
Step-by-Step Long Division
Detailed Steps
Remainders, fractions and decimals — common examples
The remainder over the divisor is the fractional part. A division ends in a terminating decimal when the simplified divisor has no prime factors other than 2 and 5; otherwise the decimal repeats.
| Division | Quotient R remainder | Mixed number | Decimal |
|---|---|---|---|
| 17 ÷ 5 | 3 R 2 | 3 2/5 | 3.4 |
| 945 ÷ 12 | 78 R 9 | 78 3/4 | 78.75 |
| 100 ÷ 3 | 33 R 1 | 33 1/3 | 33.333… (3 repeats) |
| 1 ÷ 6 | 0 R 1 | 1/6 | 0.1666… (6 repeats) |
| 1234 ÷ 7 | 176 R 2 | 176 2/7 | 176.285714285714… (285714 repeats) |
| 5 ÷ 11 | 0 R 5 | 5/11 | 0.4545… (45 repeats) |
| 250 ÷ 8 | 31 R 2 | 31 1/4 | 31.25 |
| 1000 ÷ 16 | 62 R 8 | 62 1/2 | 62.5 |
Quick answer
Long division repeats four steps: divide, multiply, subtract, bring down. For 945 ÷ 12: 12 goes into 94 seven times (7 × 12 = 84), 94 − 84 = 10; bring down 5 to make 105; 12 goes into 105 eight times (96), 105 − 96 = 9. No digits are left, so 945 ÷ 12 = 78 remainder 9 = 78 9/12 = 78 3/4. Keep going with zeros after a decimal point to get 78.75.
Examples
| Problem | Quotient R remainder | Fraction | Decimal |
|---|---|---|---|
| 945 ÷ 12 | 78 R 9 | 78 3/4 | 78.75 |
| 1234 ÷ 7 | 176 R 2 | 176 2/7 | 176.285714… (285714 repeats) |
| 100 ÷ 3 | 33 R 1 | 33 1/3 | 33.333… (3 repeats) |
| 8765 ÷ 43 | 203 R 36 | 203 36/43 | 203.8372093… |
| 12.5 ÷ 0.4 | 31 R 0.1 | 31 1/4 | 31.25 |
Type any two numbers, choose remainder or decimal answer, and follow each step.
Summary
This long division calculator works a division the way it is taught in school: the divisor outside the bracket, the dividend inside, the quotient on top, and a divide, multiply, subtract and bring-down row for every digit. Choose a quotient with remainder (78 R 9) or a decimal answer, where it keeps bringing down zeros after the decimal point and marks digits that repeat (1 ÷ 3 = 0.333…, 1 ÷ 7 = 0.142857…). Decimal divisors are handled by moving both decimal points, as in class. Each result also gives the fraction and mixed number and a check (quotient × divisor + remainder = dividend). Numbers can be up to 30 digits; everything runs in your browser.
How it works
- Enter the dividend (the number being divided) and the divisor (the number you divide by). Decimals and negative numbers are allowed.
- Choose the answer type: quotient and remainder, or a decimal answer with up to 20 decimal places.
- Click Calculate or press Enter.
- The long division layout shows the quotient above the bracket and each multiply-and-subtract row underneath.
- The numbered steps explain every divide, multiply, subtract and bring-down, and say when the decimal starts to repeat.
- The summary gives the quotient, remainder, decimal, fraction, mixed number and a check of the answer.
Use cases
- Checking long division homework, including the working.
- Learning or teaching the divide, multiply, subtract, bring-down routine.
- Turning a remainder into a fraction or a decimal.
- Finding which digits repeat in a fraction like 5/7 or 1/6.
- Dividing by a decimal such as 0.4 by moving the decimal point.
- Dividing very long numbers exactly, beyond calculator precision.