How to use this long division calculator
- Enter the dividend and divisor. Example: 84 ÷ 7.
- This page is for whole-number division first. Keep decimal digits at 0 when you want the quotient and remainder. If the division problem itself uses decimals or you want to learn the decimal-point shift, use Decimal division instead.
- Press Compute to see the answer, layout, current explanation, and step list together. You can also copy the result, URL, or LaTeX.
Calculations run in your browser only. Nothing is sent until you copy a link or result.
Common long division tasks
- Find the quotient and remainder: keep decimal digits at
0and read both parts from the result summary. - Continue into decimals: raise decimal digits only when you want to keep dividing after the whole-number remainder.
- Check classwork step by step: compare the subtraction and bring-down rows with your notebook line by line.
- Handle awkward cases: this page also shows where a
0appears in the quotient, or where the divisor is larger than the current part of the dividend.
Worked examples
- Exact division:
84 ÷ 7gives quotient12and remainder0. - Division with a remainder:
125 ÷ 6gives quotient20and remainder5, so you can check with6 × 20 + 5 = 125. - Repeating decimal:
1 ÷ 3with decimal digits turned on shows where the same remainder repeats, so the decimal keeps cycling.
Results
Long division layout
Step-by-step
Shortcuts: Alt+S share, Alt+L copy LaTeX, Alt+[ previous step, Alt+] next step.
Current explanation
Examples
Teacher notes
- Start by pointing out how the current number, the quotient digit, and the bring-down step match each other in the layout.
- Pause once on an exact example and once on a remainder example so students can compare where the process stops and where it continues.
- Use examples that cross a 0 in the quotient or continue into decimals when you want to surface the steps learners usually miss, and turn on teacher mode when you want helper marks, ghost digits, and stronger highlights on a shared screen.
Print more practice for this skill
Build an 8-question worksheet for this topic and print it for class, homework, or quick review.
FAQ
What is a remainder?
The remainder is the amount left over after dividing. If it is 0, the division comes out exactly.
What if I need decimal division instead?
Use this page for whole-number division. If the dividend or divisor already has decimals, or if you want to learn why the decimal point moves, use Decimal division instead. On this page, raise decimal digits above 0 only when you want to keep a whole-number division going past the decimal point.
How does the calculator detect repeating decimals?
It watches each remainder. When the same remainder appears again, the decimal digits from there start repeating.
How can I check the answer?
In the panel under the result, exact cases use = and repeating decimals use ≈ so you can see whether the answer is exact or only close. If there is a remainder, check both parts: multiply back and then add the remainder. The helper estimate appears only for natural whole-number cases.
What if the divisor is larger than the dividend?
The quotient starts with 0 and the whole dividend becomes the remainder unless you continue into decimals. For example, 5 ÷ 8 is 0 remainder 5 at the whole-number stage, then 0.625 if you keep dividing into decimals.