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MathematicsMultiplication & DivisionAges 10–13

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.

Activity

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.

Policy

Check readiness directly. Prerequisite availability is not attainment.

Printer, credit, and teaching notes

Check readiness directly. Prerequisite availability is not attainment.

Use these linked lessons over several short sessions. Start with the readiness check; if it is not secure, revisit the named prerequisites rather than treating source availability as learner readiness. Use Show, Guided, then Try. Read the active sheet on screen and answer on plain paper or by typing. No printer, cutting, purchase or internet is needed. The adult may read the exact prompt. Record any hints, scribing or calculation help. Oral explanations do not show independent reading or handwriting. Use extra space and time as needed; pause or split the lesson. Keep this adult guide and all keys private. Share only the active learner sheet. Before Try, put Show, Guided work and notes aside. Keep the Try givens available, including a unit table if supplied. Give no answer or target step during the first attempt. If help is needed, give it and mark the attempt supported. Review keys after the attempt. Record the actual response and help; do not invent success or infer mastery from one attempt. These are fictional paper or oral mathematics tasks. No personal information, public sharing, purchase, real transaction, physical experiment or real measurement is required.

Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view.

Next: Show

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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

Open practice (new tab)
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 open

Ask 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

acara-v9:AC9M5N07ccss-math:5.NBT.6the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-B2.7the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B2.10the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-B2.8the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B2.9uk-nc-2013:Ma6/2.2b