Below is a *module calculator*, which will return the remainder as the result of division, or the 'modulo' or 'mod' number.

## Modulo Calculator

**Table of Contents**show ▼

## What is a Remainder? How does it relate to Modular Arithmetic?

A remainder is the extra amount when you do division and the divisor doesn't divide a divisor equally. If the division is equal, the remainder is 0

Here's an illustration of division with remainders:

And in the equation:

**x**: the*divisor*or number we will divide by y**y**: the*dividend*, the number of times to divide x**q**: the quotient, or the whole number times y could divide b**r**: the remainder or left over number from dividing x by y

In modular arithmetic, you "wrap around" a number, so the remainder is the final answer and you discard the quotient.

For example, if you divide 14 by 5, you get 2 plus a remainder of 4. But we would say:

Sometimes modulo operations are written like this:

## Using the Modulo Calculator

To use the module calculator, enter a **Dividend** and a **Divisor**. Then, hit the **Compute Remainder **button.

You'll next see the **Quotient** and **Remainder** box fill with the results of the division. The result of the mod math is the **Remainder**.

*Afterwards, see our other tools.* Or, see the closely related remainder calculator.