Remainder Calculator

Integer remainder (modulo) with quotient and the divisibility identity a = bq + r.

Calculator Numbers & Math Updated Apr 20, 2026
How to Use
  1. Enter dividend and divisor.
  2. Result shows quotient, remainder, and verification.
Input
Presets
Result

Show Work

Enter values to see the step-by-step calculation.

Identity

Division algorithm
a = b · q + r · 0 ≤ r < |b|
JS %
in JavaScript: -7 % 3 = -1 (sign of dividend) — this tool returns Euclidean remainder

About the Remainder Calculator

The Remainder Calculator is a simple, free helper for everyday maths and number work that runs entirely on your own device. Integer remainder (modulo) with quotient and the divisibility identity a = bq + r.

How it works

Enter your figures and the result appears instantly, updating the moment you change anything. There is no submit button and nothing to wait for, so it is easy to try a few what-if numbers and compare the results. Just check each box holds the kind of value it expects.

Want the deeper story? The Knowledge Base explains the ideas behind the tools in more detail.

Frequently Asked Questions

How do I use the Remainder Calculator?

Just type your numbers. The answer shows up right away — there is no button to press. Change anything and it updates by itself.

Does it cost anything or need an account?

No. The tool is completely free, there is no account to create, and it keeps working offline after the page first loads.

Is anything I type uploaded?

No. The tool works entirely on your device, so the values you enter never leave your browser.

Common Use Cases

Check your work

Worked it out yourself? Use the Remainder Calculator to make sure your answer is right.

Learn while you do it

Seeing what you put in and what comes out helps you understand how they fit together.

Get an answer fast

Type what you have and get the answer in seconds — on a phone, tablet, or computer.

Stays on your device

Your inputs never leave the browser — nothing is uploaded, logged, or stored anywhere.

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