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
Share and support
Teaching Table
Set out your lesson
Use written division to obtain exact quotients to hundredths and explain exchanges across the decimal point.
Ask for 84 ÷ 4 = 21 and explain one divide-multiply-subtract step. Ask whether 17 and 17.00 are equal: yes, trailing zeros do not change the amount. If unclear, revisit long division and decimal place value before this lesson.
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.
Record the actual response and assistance. These tasks do not establish mastery.
Use the complete materials on screen or print only the current sheet. Keep adult guidance out of learner view. Retain an earlier model only when the current step supplies it as context.
Teaching limits and safe use
These are finite task opportunities, not proof of mastery. Record what was attempted and what support was used.
Selected positive quotients terminate at no more than two decimal places. Repeating decimals, decimal divisors and rounding nonterminating quotients are not taught or assessed. Fictional money avoids personal or real financial data; written share problems are not real transactions.
Record the actual response and assistance. These tasks do not establish mastery.
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Teaching approaches
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1 approach
Use written division to obtain exact quotients to hundredths and explain exchanges across the decimal point.
Use written division to obtain exact quotients to hundredths and explain exchanges across the decimal point.
Family records and proof options
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Learning resources
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Check understanding
- 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)
“Can your child use a written method to calculate something like '17 ÷ 4 = 4.25' — carrying the division past the decimal point to get a decimal answer rather than a remainder?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 10–11