➗ Long Division Calculator
Divide any two numbers and see the full written long division, step by step — with remainders, decimal answers, repeating decimals and decimal divisors.
Worked long division
3 2.5 7 1
_____________
7 ) 2 2 8.0 0 0
-2 1
‾‾‾‾
1 8
-1 4
‾‾‾‾
4 0
-3 5
‾‾‾‾
5 0
-4 9
‾‾‾‾
1 0
-7
‾‾‾‾
35 steps · each step: divide, multiply, subtract, bring down the next digit.
What Long Division Calculator Does
This long division calculator lays out the written method exactly as it is taught in school — the divisor outside the bracket, the quotient on top, and each multiply-and-subtract step stacked underneath — so you can check homework line by line or see where a step went wrong. Every step is free to view, with no login.
Results come in two forms: a quotient and remainder (228 ÷ 7 = 32 R 4), or a decimal. When a decimal never ends, the calculator finds the repeating block and shows it in parentheses, so 228 ÷ 7 = 32.(571428) means the six digits 571428 repeat forever. Arithmetic is done on whole-number integers internally, so dividends up to 17 digits come out exact rather than rounded.
For a decimal divisor, the calculator first shifts both decimal points the same number of places — 12.5 ÷ 0.25 becomes 1250 ÷ 25 — which leaves the answer unchanged and turns the problem into one you can do by hand.
How to Use Long Division Calculator
- Enter the dividend (the number being divided) and the divisor
- Choose quotient and remainder, or a number of decimal places
- Read the quotient, remainder and exact decimal with any repeating part
- Follow the worked layout: divide, multiply, subtract, bring down
Formula Used by Long Division Calculator
The four repeating steps
Divide → Multiply → Subtract → Bring down, until no digits remain
Worked example
228 ÷ 7
- 7 into 22 goes 3 times; 3 × 7 = 21; 22 − 21 = 1
- Bring down 8 → 18
- 7 into 18 goes 2 times; 2 × 7 = 14; 18 − 14 = 4
- No digits left
Result: 32 remainder 4. Check: 7 × 32 + 4 = 228.
Finding a repeating decimal
Keep dividing after the decimal point by bringing down zeros; when a remainder repeats, the digits between the two appearances repeat forever
Worked example
1 ÷ 7
- Remainders: 1 → 3 → 2 → 6 → 4 → 5 → 1
- Remainder 1 has come back after six digits
Result: 1 ÷ 7 = 0.(142857)
Common Fractions as Decimals
Parentheses mark the repeating block. A fraction in lowest terms terminates only when its denominator has no prime factors other than 2 and 5.
| Division | Decimal | Terminates? |
|---|---|---|
| 1 ÷ 2 | 0.5 | Yes |
| 1 ÷ 3 | 0.(3) | No |
| 1 ÷ 4 | 0.25 | Yes |
| 1 ÷ 6 | 0.1(6) | No |
| 1 ÷ 7 | 0.(142857) | No |
| 1 ÷ 8 | 0.125 | Yes |
| 1 ÷ 9 | 0.(1) | No |
| 1 ÷ 11 | 0.(09) | No |
| 1 ÷ 12 | 0.08(3) | No |
| 1 ÷ 16 | 0.0625 | Yes |
How to Read Your Result
Zeros inside the quotient
If the number you bring down is still smaller than the divisor, the divisor goes into it zero times and a 0 must be written in the quotient before bringing down the next digit. Skipping that zero is the most common long division mistake — 612 ÷ 6 is 102, not 12.
Remainder or decimal?
Use a remainder when things cannot be split, such as 228 students in buses of 7 (32 full buses and 4 students left over). Use a decimal for measurements and money. A remainder can always be written as a fraction too: 32 R 4 is 32 4⁄7.
Limitations & Accuracy Notes
- The decimal expansion looks for a repeating block within the first 60 digits after the point; a longer period is cut off and marked with …, although the digits shown are still exact.
- Inputs are limited to positive numbers, with dividends under 18 digits and divisors under 12. For a negative problem, divide the absolute values and apply the sign: the quotient is negative when exactly one number is negative.
- The layout follows the U.S. style; some countries write the divisor and quotient in different places, but the steps are the same.
Frequently Asked Questions
How does long division work?
How do I do long division with a remainder?
How do I divide by a decimal?
What does the repeating part in parentheses mean?
Why is there a zero in the middle of my answer?
How can I check a long division answer?
References & Further Reading
- Long division — Wikipedia — Algorithm and history
- Short division — Wikipedia