--- title: "Short division" description: "Divide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the context" canonical: https://lightmysky.com/learn/mathematics/short-division-mt_MCu_SNg_OW source: https://lightmysky.com/learn/mathematics/short-division-mt_MCu_SNg_OW.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`. # Short division Divide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the context Subject: Mathematics · Area: Multiplication & Division · Ages 9 to 10 Page: https://lightmysky.com/learn/mathematics/short-division-mt_MCu_SNg_OW ## Ready when they can - Calculate 4,932 ÷ 6 using short division - Solve 125 ÷ 8 and interpret: 15 remainder 5 means 15 full bags with 5 left over - Use the relationship between multiplication and division to check a division answer ## Lesson: Short Division: One Digit at a Time Sharing a bag of sweets fairly between friends means dividing a big number by a small one. You already know your times tables and how to find a missing factor. Short division uses those same facts to divide big numbers, one digit at a time, working from left to right. *(drawing: This array shows 4 × 6 = 24. It also means 24 divided by 6 = 4. Short division uses that same link, just with bigger numbers.)* **Example.** Look at 4,932 divided by 6. Start on the left: 4 divided by 6 doesn't work, so carry the 4 to make 49. 49 divided by 6 = 8 remainder 1. Carry the 1 to make 13. 13 divided by 6 = 2 remainder 1. Carry the 1 to make 12. 12 divided by 6 = 2 exactly. Read the answers across: 822. **Example.** 125 party favors are packed into bags of 8. 125 divided by 8 = 15 remainder 5. That means 15 full bags, with 5 favors left over. Those 5 don't make a whole bag, so they get handed out separately instead. If nothing may be left unpacked, those 5 need one more bag of their own. **Example.** Check any division by multiplying back. Multiply your answer by the number you divided by, then add the remainder. You should land back on the number you started with. For 125 divided by 8: 15 × 8 + 5 = 125. **Recap.** Short division works one digit at a time from left to right, and a remainder tells you what's left over after the full groups are done. ## Practice 15 questions on this page, each with its working shown. ## Needs first - [Division as Unknown Factor](https://lightmysky.com/learn/mathematics/division-as-unknown-factor-mt_GDG9_SZmsO) - [Fluent multiplication and division facts](https://lightmysky.com/learn/mathematics/fluent-multiplication-and-division-facts-mt_WX30dzi4dt) ## Opens up - [Dividing by two-digit numbers](https://lightmysky.com/learn/mathematics/dividing-by-two-digit-numbers-mt_FvEq4heNBx) - [Multi-step word problems with remainders](https://lightmysky.com/learn/mathematics/multi-step-word-problems-with-remainders-mt_p-nbe0w_lf) - [Division with remainders (age 10+)](https://lightmysky.com/learn/mathematics/division-with-remainders-age-10-mt_WsM4EmdOLe)