Division with remainders
Solve multi-step word problems using the four operations with whole numbers, including interpreting remainders in context; represent with equations using a letter for the unknown; check with estimation
Lesson
Set out your lesson
Choose operations, represent an unknown and interpret leftovers according to the question, not a rounding rule.
Before teaching
Use this short check, then start teaching.
Before starting, ask for 3 × 14 and 45 ÷ 6 with remainder and a reason for each step. Check that the learner distinguishes equal sharing from number of groups. This short probe is activity readiness, not proof of every directed prerequisite.
Pause the fresh check. Revisit the named prerequisite or repeat the Show with smaller steps; record supported practice rather than an independent result. Authored predecessor existence never proves this learner is ready.
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Teaching approaches
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1 approach
Choose operations, represent an unknown and interpret leftovers according to the question, not a rounding rule.
Choose operations, represent an unknown and interpret leftovers according to the question, not a rounding rule.
Family records and proof options
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Dan’s Division Strategy
Before you open · source notes
Dan’s division strategy supports division thinking with leftovers. Not every decimal quotient drill.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to explain a division result and what is left over.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Dan’s Division Strategy.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- 52 children go on a trip in minibuses holding 9 each — how many minibuses are needed? (interpret the remainder, including a calculator display such as 5.777… meaning 6 minibuses)
- A shop sells packs of 6 pencils for £1.50 each — how much do 5 packs cost?
- Represent a two-step problem with an equation using n for the unknown
“If your child reads 'a school buys 7 boxes of 24 pens and shares them equally between 8 classes', can they work through all the steps and decide sensibly what to do with any remainder?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 9–13
Standards