Division with remainders (age 10+)
Divide numbers up to 4 digits by a two-digit divisor using formal written long division, interpreting remainders as whole numbers, fractions, or by rounding as appropriate
Lesson
Set out your lesson
Use long division by a two-digit divisor. Check the result and interpret a remainder for a stated purpose.
Before teaching
Use this short check, then start teaching.
Ask for 84 ÷ 7 = 12 and for the check 12×7 = 84. Ask whether a remainder after division by 7 can be 8: no, another group of 7 is possible. If these are unclear, revisit the named short-division prerequisite. The earlier long-multiplication lesson is useful for checks but is a soft, not hard, canonical edge.
Check readiness directly. Prerequisite availability is not attainment.
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Use long division by a two-digit divisor. Check the result and interpret a remainder for a stated purpose.
Use long division by a two-digit divisor. Check the result and interpret a remainder for a stated purpose.
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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
Video Game Credits
Before you open · source notes
Video Game Credits supports division situations that leave leftovers. Not every decimal long-division algorithm alone.
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 what the quotient means 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. “Video Game Credits.” 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
- Compute 4,752 ÷ 13 using long division and express the remainder as a fraction
- Decide whether to round up or down a division remainder in a real-life context (e.g. buses needed)
- Explain each step of the long division algorithm for a 4-digit ÷ 2-digit calculation
“Can your child use long division to work out something like '1,848 ÷ 24' — going through the steps of divide, multiply, subtract, and bring down until they reach the answer?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 10–13
Standards