---
title: "Division with Decimals"
description: "Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers"
canonical: https://lightmysky.com/learn/mathematics/division-with-decimals-mt_lU-2aTRB9f
source: https://lightmysky.com/learn/mathematics/division-with-decimals-mt_lU-2aTRB9f.md
retrieved: 2026-10-19
---

> **Agent view.** This is the Markdown twin of the page, for tools and assistants.
> When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md
> API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md
> Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt
> Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json
> Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`.

# Division with Decimals

Use written division methods in cases where the answer has up to two decimal places; divide decimals to hundredths by whole numbers

Subject: Mathematics · Area: Multiplication & Division · Ages 10 to 11
Page: https://lightmysky.com/learn/mathematics/division-with-decimals-mt_lU-2aTRB9f

## Ready when they can

- Compute 14.76 ÷ 4 using a written method to get 3.69
- Explain how to continue long division past the decimal point to obtain a decimal quotient
- Solve a context problem that requires dividing a decimal amount equally (e.g. sharing £18.60 among 5 people)

## Lesson: Dividing into decimals

You already know a remainder can become a fraction of what you are measuring, like 17 ÷ 4 = 4 remainder 1. When you share money, that leftover still has to be shared. Add a decimal point and a zero after the number, then keep dividing to turn the remainder into a decimal.

**Example.** Divide 17 by 4. First, 4 goes into 17 four times (4 × 4 = 16), leaving 1. Put a decimal point after the 17, then add a zero to make 10. Divide 10 by 4: it goes in 2 times (2 × 4 = 8), leaving 2. Add another zero to make 20. Divide 20 by 4: it goes in exactly 5 times. The answer is 4.25.

**Example.** You can also divide a decimal number by a whole number. Take 14.76 ÷ 4. Divide as usual, but keep the decimal point in your answer lined up with the decimal point in 14.76. 4 goes into 14 three times, remainder 2. Bring down the 7 to make 27; 4 goes into 27 six times, remainder 3. Bring down the 6 to make 36; 4 goes into 36 nine times exactly. The answer is 3.69.

*(drawing: Five friends share £18.60 equally. Divide 18.60 by 5: each friend gets £3.72.)*

**Tip.** Line up the decimal point in your answer directly under the decimal point in the number you are dividing. If you run out of digits, add a zero and keep dividing.

**Recap.** To divide into a decimal, keep dividing past the remainder: add zeros and line up the decimal point.

## Practice

18 questions on this page, each with its working shown.

## Needs first

- [Dividing by two-digit numbers](https://lightmysky.com/learn/mathematics/dividing-by-two-digit-numbers-mt_FvEq4heNBx)
- [Pounds & Pence Notation](https://lightmysky.com/learn/mathematics/pounds-and-pence-notation-mt_pbuhUQJjtt)
- [Multiplying and dividing (age 10+)](https://lightmysky.com/learn/mathematics/multiplying-and-dividing-age-10-mt_wPgpMJ0-PA)
- [Division with remainders (age 10+)](https://lightmysky.com/learn/mathematics/division-with-remainders-age-10-mt_WsM4EmdOLe)

## Opens up

- [Calculating the mean](https://lightmysky.com/learn/mathematics/calculating-the-mean-mt_Cg8VPguS_V)
- [Rounding Answers](https://lightmysky.com/learn/mathematics/rounding-answers-mt_QU5R7Aajy9)
