Long Division Calculator
Type a dividend and a divisor to get the quotient, the remainder and the decimal answer, with every step of the bracket method written out. For example, 527 ÷ 4 = 131 R 3, which is 131.75 as a decimal.
Long division is just repeated subtraction: each digit of the quotient says how many times the divisor fits into the number you have brought down so far.
Set up the bracket
4 goes on the outside (the divisor), 527 on the inside (the dividend). The quotient is written along the top.
4 ⟌ 527divisor ⟌ dividend
Divide → multiply → subtract → bring down
5 ÷ 4 goes 1 time — write 1 on top, subtract 4, left with 1. 12 ÷ 4 goes 3 times — write 3 on top, subtract 12, left with 0. 7 ÷ 4 goes 1 time — write 1 on top, subtract 4, left with 3. Bring down a 0 to make 30; 4 goes 7 times — subtract 28, left with 2. Bring down a 0 to make 20; 4 goes 5 times — subtract 20, left with 0.
4)527.0001411231207143.307282205200Read the answer off the top
- Quotient
- 131.75
- Remainder
- 0 — divides exactly
- Check
- 131.75 × 4 = 527
Works instantly in your browser — nothing is uploaded, and the URL keeps your numbers so you can share the exact worked example.
Long division examples, worked
Common problems with both forms of the answer. The check line multiplies back: quotient × divisor + remainder always gives the dividend.
| Problem | With remainder | As a decimal | Check |
|---|---|---|---|
| 527 ÷ 4 | 131 R 3 | 131.75 | 131 × 4 + 3 = 527 |
| 100 ÷ 7 | 14 R 2 | 14.286… | 14 × 7 + 2 = 100 |
| 845 ÷ 5 | 169 exactly | 169 | 169 × 5 = 845 |
| 1,000 ÷ 8 | 125 exactly | 125 | 125 × 8 = 1,000 |
| 963 ÷ 12 | 80 R 3 | 80.25 | 80 × 12 + 3 = 963 |
| 2,568 ÷ 24 | 107 exactly | 107 | 107 × 24 = 2,568 |
| 4,321 ÷ 15 | 288 R 1 | 288.067… | 288 × 15 + 1 = 4,321 |
| 50 ÷ 3 | 16 R 2 | 16.667… | 16 × 3 + 2 = 50 |
| 1 ÷ 3 | 0 R 1 | 0.333… | 0 × 3 + 1 = 1 |
Decimals are worked to three places; “…” means the digits carry on (rounded at the third place).
Reading the layout
The divisor sits outside the bracket, the dividend inside, and the quotient builds up along the top. Below the dividend you see the running work: each product written under the current working number, a line drawn, the difference written beneath, and the next digit brought down beside it.
Every row is a small subtraction problem. If you can subtract and know your times tables, you can follow the whole calculation — nothing is hidden.
Remainder or decimals?
Both are correct answers to “what is left over?”. Whole-number work stops at the remainder: 527 ÷ 4 = 131 remainder 3. Decimal work appends zeros after the point and keeps the cycle going — 131.75 exactly in this case.
Choose “whole numbers only” when you are checking homework written with R, and decimal places when the answer needs to be a single number.