> ## Content Index
> Fetch the complete content index at: https://www.esheets.io/llms.txt
> Use this file to discover other available public pages before exploring further.

# Division of Integers
- URL: https://www.esheets.io/division-of-integers/
- Published: 2023-04-29T23:11:25.000Z
- Updated: 2026-07-09T18:36:36.000Z
- Author: Richard Linnington
- Tags: Maths, Number

Dividing is a key skill for tasks like splitting bills, calculating unit prices, or converting measurements. It ensures you can break down quantities accurately, which is important in everyday problem-solving. Either [practise directly below](#practise-now) or try the scaffolded Google Sheet instead.

[Looking for division of decimals?](https://www.esheets.io/dividing-by-a-decimal/)

## Practise now

Worksheet preview and key skills 

### Worksheet preview

Practise division of integers with this self-marking maths worksheet.

The interactive worksheet below generates questions, gives instant feedback, and lets students record their score.

#### What you’ll practise

- Dividing whole numbers.
- Using multiplication facts to support division.
- Finding exact integer quotients.
- Checking division answers.

Use the interactive worksheet below, or read the [Topic guide](#topic-guide) for the method and worked example.

Use short division to find the quotient.

## Topic guide

### What this worksheet practises

This worksheet provides practice on the division of integers (positive and negative whole numbers). While dividing whole numbers is a core arithmetic skill, adding negative signs introduces a strict set of rules that must be followed to avoid simple sign errors.

### Key method

When dividing integers, you must divide the numbers normally first, and then apply a simple rule to determine the sign of the answer.

- Ignore the signs initially and divide the two numbers.
- Look at the original signs of the two numbers.
- If the signs are the **same** (both positive or both negative), the answer is **positive**.
- If the signs are **different** (one positive, one negative), the answer is **negative**.

### Worked example

**Calculate −36 ÷ 4 and −42 ÷ −6.**

Step 1: Calculate the first division (−36 ÷ 4).

Divide the numbers: 36 ÷ 4 = 9.

Check the signs: We have one negative and one positive. The signs are different.

Therefore, the answer is negative: −9.

Step 2: Calculate the second division (−42 ÷ −6).

Divide the numbers: 42 ÷ 6 = 7.

Check the signs: We have two negative numbers. The signs are the same.

Therefore, the answer is positive: 7.

### Common mistakes to avoid

A very common mistake is confusing the rules for addition/subtraction with the rules for multiplication/division. For example, some students think that because −8 + 2 is still negative (−6), then −8 ÷ −2 must also be negative. This is incorrect. The multiplication/division rules ("same signs = positive") are entirely separate from addition rules.

### Things to remember

The rules for dividing negative numbers are exactly identical to the rules for multiplying them. "Two negatives make a positive" is a helpful phrase, but remember it *only* applies when multiplying or dividing.