Below is a *remainder calculator*, which will only return a whole number quotient plus the *remainder*, or anything left over.

## Remainder Calculator

**Table of Contents**show ▼

## What is a Remainder?

A remainder is the amount left over when you do division and the divisor doesn’t divide the divisor equally. These terms are related in this form:

Where:

**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

It’s often used in long division, where the remainder is labeled as *remainder* or just* r*.

As a more practical example, the remainder is used in modular arithmetic or “module” or “mod” math (see the modulo calculator). For example, on a 12 hour clock, 3 hours after 11 AM is 2 PM.

### Remainder Math Example

For example, let’s say you want to **divide 12 by 5**. If you were to do this division without remainders, you would get **2.4**.

However, doing the math with a remainder looks like this:

Conceptually, if you divide 12 into groups of 5 what you get is 2 full sized groups, plus 2 left over. Here’s how it looks:

## Using the Remainder Calculator

To use the remainder calculator, enter in both a **Dividend** (top number in division) and a **Divisor** (bottom number). Next, hit the Compute Remainder button.

Immediately, you’ll see the **Quotient** and **Remainder** box fill with the results of the division.

*Afterwards, see our other tools.*