Long Division Calculator – Solve Division Step by Step
Divide two integers and see the quotient, remainder and decimals.
About the Long Division Calculator
What is the Long Division Calculator?
A long division calculator divides a dividend by a divisor exactly, giving quotient, remainder and repeating decimal digits.
Why use this calculator?
Learning, recipe scaling and remainder-based programming all need exact integer division that decimals disguise.
How to use it
- Enter the dividend and divisor.
- Read the quotient and remainder.
- The decimal expansion shows repeating digits when they occur.
Formula
D = q × d + r with 0 ≤ r < d.
Repeating decimals are detected and reported with their cycle.
Frequently Asked Questions
Why does 1/3 repeat forever?
Its decimal expansion 0.333… never terminates because the remainder 1 keeps recurring — a property of rational numbers.
What is the remainder useful for?
Grouping and scheduling ("every 3rd item"), leap-year checks, and modulo math in programming.
What order of operations does this use?
It follows standard PEMDAS/BODMAS rules: parentheses, exponents, multiplication and division, then addition and subtraction.
How precise are the answers?
The calculator uses double-precision floating-point math (about 15 significant digits) and rounds the display. For exact symbolic results use dedicated algebra software.
Can I enter negative numbers or decimals?
Yes. Negative values, decimals and very large or small numbers are all supported unless a field says otherwise.
What does it mean if I get an error?
Errors usually mean an invalid input, such as division by zero or a negative value where only positives make sense. Check your entries and try again.
Is this calculator free to use?
Yes. Every calculator on this site is completely free, with no hidden fees, no subscriptions and no limits on how many times you can use it.
How accurate are the results?
We use standard, widely accepted formulas and calculate in your browser using double-precision arithmetic. Results are rounded for readability, so treat them as reliable estimates rather than a guarantee. Real-world factors can vary the true figure.
Can I add this calculator to my own website?
Yes. Open this calculator page and use the "Add to your website" box in the sidebar to copy a ready-made iframe snippet, then paste it into any HTML page.
Does it work on a phone or tablet?
Yes. The layout is fully responsive, so it works on desktops, laptops, tablets and mobile phones, and every input adapts to touch screens.