🔢 Math

Modulo Calculator

Calculate the remainder of a division.

Modulo Calculator

Remainder (Modulo)
2
Overview

What Is a Modulo Calculator?

This tool calculates the modulo (remainder) when one number is divided by another - the amount left over after division.

Who It's For

For Students & Programmers

Useful for math coursework and understanding modular arithmetic used in programming.

Walkthrough

How to Use This Calculator

01

Enter the dividend

Input the number being divided.

02

Enter the divisor

Input the number you're dividing by.

03

Read the remainder instantly

The result updates automatically.

Tips

Tips & Tricks

FAQ

Frequently Asked Questions

What is modulo?

The remainder left over after dividing one number by another.

How is modulo calculated?

a mod b = a - (b × floor(a/b)), giving the remainder after complete division.

What's a common use of modulo?

Checking if a number is even/odd, cycling through array indices, and various programming logic use modulo.

Can the divisor be larger than the dividend?

Yes, in that case the remainder equals the dividend itself.

What's 10 mod 3?

1, since 10 divided by 3 is 3 with remainder 1.

Is my data saved?

No, calculations happen entirely in your browser.

Can modulo be negative?

This depends on the sign convention used - this calculator follows standard positive remainder convention for typical use cases.

Is modulo the same in every programming language?

The core concept is universal, though sign handling for negative numbers can vary slightly between languages.

What is 0 mod any number?

Always 0, since 0 divided by any number leaves no remainder.

Is this tool free?

Yes, completely free with no sign-up required.

Related

More Calculators