Division Long Calculator
Long Division Calculator works out Quotient (whole number) and Remainder from Dividend (the number being divided), Divisor (the number you divide by) and Decimal places to work out. The default figures on this page give quotient (whole number) of 14; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
12 steps
- Divide 100 by 7.
- Bring down 1: 1 ÷ 7 = 0, subtract 0 x 7 = 0, remainder 1
- Bring down 0: 10 ÷ 7 = 1, subtract 1 x 7 = 7, remainder 3
- Bring down 0: 30 ÷ 7 = 4, subtract 4 x 7 = 28, remainder 2
- Bring down 0: 20 ÷ 7 = 2, subtract 2 x 7 = 14, remainder 6
- Bring down 0: 60 ÷ 7 = 8, subtract 8 x 7 = 56, remainder 4
- Bring down 0: 40 ÷ 7 = 5, subtract 5 x 7 = 35, remainder 5
- Bring down 0: 50 ÷ 7 = 7, subtract 7 x 7 = 49, remainder 1
- Bring down 0: 10 ÷ 7 = 1, subtract 1 x 7 = 7, remainder 3
- Bring down 0: 30 ÷ 7 = 4, subtract 4 x 7 = 28, remainder 2
- Quotient 14 remainder 2.
- The remainder 2 has come round again, so the digits "285714" repeat forever: 14.(285714)
Long division workingtable
| step | bringDown | partialDividend | quotientDigit | subtract | remainder |
|---|---|---|---|---|---|
| 10^2 | 1 | 1 | 0 | 0 | 1 |
| 10^1 | 0 | 10 | 1 | 7 | 3 |
| 10^0 | 0 | 30 | 4 | 28 | 2 |
| 10^-1 | 0 | 20 | 2 | 14 | 6 |
| 10^-2 | 0 | 60 | 8 | 56 | 4 |
| 10^-3 | 0 | 40 | 5 | 35 | 5 |
| 10^-4 | 0 | 50 | 7 | 49 | 1 |
| 10^-5 | 0 | 10 | 1 | 7 | 3 |
| 10^-6 | 0 | 30 | 4 | 28 | 2 |
Written outtable
Its 9 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
2 sources
What the Long Division Calculator calculates
Divides one number by another and shows the long-division working step by step: each bring-down, multiplication and subtraction, the whole-number quotient and remainder, and the decimal expansion with any repeating block identified and its period given.
How to use this Long Division Calculator
Enter Dividend (the number being divided), Divisor (the number you divide by), Decimal places to work out and Answer style. Quotient (whole number) updates as you type, and “Use a worked example” loads checked figures you can adjust. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Quotient (whole number), Remainder and Quotient as a decimal.
The method follows Euclid’s division lemma: for integers a and b > 0 there are unique q and r with a = bq + r and 0 <= r < b and Repeating decimals: the expansion of a/b repeats with period equal to the multiplicative order of 10 modulo the factor of b coprime to 10.
100 divided by 7 example
With Dividend (the number being divided): 100, Divisor (the number you divide by): 7, Decimal places to work out: 20, the calculator returns Quotient (whole number): 14, Remainder: 2, Decimal expansion: 14.(285714). This example is checked against an independent source in the test suite.
What you can compare
Change one input at a time to see how it affects Quotient (whole number), Remainder and Quotient as a decimal. The inputs you can vary are Dividend (the number being divided), Divisor (the number you divide by), Decimal places to work out and Answer style.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
How can I calculate long division?
Divides one number by another and shows the long-division working step by step: each bring-down, multiplication and subtraction, the whole-number quotient and remainder. Open “How this is worked out” beside the result to see each step for your own figures.
How to do long division method in calculator?
It needs Dividend (the number being divided), Divisor (the number you divide by), Decimal places to work out and Answer style. Nothing else is required, and the figures stay in your browser.
Can I do long division on TI-84?
Divides one number by another and shows the long-division working step by step: each bring-down, multiplication and subtraction, the whole-number quotient and remainder. On the figures this page opens with — dividend (the number being divided) 100 and divisor (the number you divide by) 7 — the quotient (whole number) is 14. Put your own figures in their place and the working updates beside the result.
What is the trick to long division?
On the figures this page opens with — dividend (the number being divided) 100 and divisor (the number you divide by) 7 — the quotient (whole number) is 14. No single number fits everyone: change any figure above and the answer updates as you type, with each step of the arithmetic beside it.
Can you provide me with a long division answer calculator?
The result gives Quotient (whole number), Remainder, Quotient as a decimal, Decimal expansion, Repeating block and Length of the repeating block, each labelled with its unit so the figure can be read on its own.
What is the trick for long division?
The page opens with worked default figures: quotient (whole number) of 14. Replace them with your own and every figure updates as you type.