5th grade division
5th grade division (class 5): a quiz for kids, then every skill in order with lessons, a checklist and a 4-week plan for parents.
🧒 Kids: answer 10 grade 5 division questions. Tap Check ✓ after each one!
What 5th grader learn about division
In grade 5 (class 5), children divide up to 4-digit numbers by 2-digit numbers, estimating each digit by rounding the divisor. They explain answers with area models, connect fractions to division, turn remainders into fractions, and begin dividing decimals and unit fractions.
- 5.NBT.B.6: divide up to 4-digit dividends by 2-digit divisors, using place value, properties and area models.
- 5.NBT.B.7: divide decimals to hundredths.
- 5.NF.B.3: understand a fraction as a division: 3/4 = 3 ÷ 4.
- 5.NF.B.7: divide unit fractions by whole numbers and whole numbers by unit fractions.
The big idea in grade 5
Grade 5 brings 2-digit divisors, as in 3,456 ÷ 12. The steps are the same as before, but nobody knows the 12 or 23 times table, so each digit of the answer is an estimate.
The key skill is rounding the divisor: to divide by 23, think “divide by 20”. Then adjust if the estimate is one too big or too small. Writing a short multiples list first takes the guessing out.
Division also spreads to fractions and decimals. A fraction is a division (3/4 = 3 ÷ 4), remainders can become fractions, and children divide decimals to hundredths and unit fractions by whole numbers.
5th grade division skills, in order
Work down the list. Each lesson explains the idea for parents with pictures and has a tool or quiz for your child.
| # | Skill (lesson) | Practice |
|---|---|---|
| 1 | Estimating quotients | Quiz on the page |
| 2 | Partial quotients with 2-digit divisors | Chunking tool |
| 3 | Long division | Step-by-step tool |
| 4 | Long division with 2-digit divisors | Step-by-step tool |
| 5 | Zeros in the quotient | Step-by-step tool |
| 6 | Remainders as fractions | Quiz on the page |
| 7 | Division word problems | Quiz on the page |
| 8 | Decimals | Decimal lessons |
By the end of grade 5, your child should be able to…
- Estimate 917 ÷ 23 by rounding the divisor.
- Divide a 3-digit number by a 2-digit number: 864 ÷ 24.
- Divide a 4-digit number by a 2-digit number: 3,456 ÷ 12.
- Adjust an estimate that is one too big or too small.
- Write a remainder as a fraction: 30 ÷ 4 = 7 ½.
- Solve a multi-step division word problem.
Unsure where your child is? The division levels page has a short test for every step from sharing to 2-digit divisors.
A 4-week plan for 5th grade division
| When | Focus |
|---|---|
| Week 1 | Estimating with compatible numbers; dividing multiples of 10 |
| Week 2 | Partial quotients and area models with 2-digit divisors |
| Week 3 | Long division with 2-digit divisors; adjusting estimates |
| Week 4 | Remainders as fractions; word problems |
Add 5 minutes of fact practice every day with the division practice trainer, and a weekly division speed test. Keep the matching times tables going too.
More for grade 5
All 5th grade math · CBSE class 5 maths parent guide · 5th grade multiplication · Division quiz for every grade · Division for kids
What to say to your child
A short script for teaching it the first time. Pause after each line and let your child do the next step.
- “672 ÷ 21. Round 21 to 20. How many 20s in 67?” (3.)
- “3 × 21 = 63. Subtract.” (4.) “Bring down the 2.” (42.)
- “How many 21s in 42?” (2.) “So the answer is…” (32!)
- “Check: 32 × 21.” (672.)
- “Rounding the divisor turned it into a times table question.”
More worked examples
Example 1: 2-digit divisor: 768 ÷ 32
Round 32 to 30. 76 ÷ 30 ≈ 2: 64, leaving 12. Bring down 8: 128 ÷ 32 = 4. Answer: 24.
Example 2: estimate: 812 ÷ 21
812 ÷ 21 ≈ 800 ÷ 20 = 40. Exact: 38 r 14.
Example 3: a remainder as a fraction
5 friends share 12 pizzas: 12 ÷ 5 = 2 r 2 = 2 ⅖ pizzas each.
Practice questions (answers below)
Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.
- 96 ÷ 12
- 374 ÷ 22
- 864 ÷ 24
- 1,248 ÷ 16
- 3,456 ÷ 12
- 500 ÷ 23
- Estimate 917 ÷ 23
- Write 30 ÷ 4 as a mixed number
- 4,080 seats in 34 equal rows. How many in each row?
- Stretch: 9,999 ÷ 99
Show the answers
- 8
- 17
- 36
- 78
- 288
- 21 r 17
- About 40
- 7 ½
- 120
- 101
Common mistakes
How to teach it at home
Five minutes a day
Short daily practice beats long weekend sessions.
Talk it through
Ask “how did you work that out?” for one problem each day.
Use real life
Sharing snacks, splitting bills and working out prices per item are all division.
By grade
- Before: 4th grade division
- After: 6th grade division
Not sure where to start?
The free 5th grade math check-up tests every grade 5 topic in 18–22 minutes. It shows which topics are solid and which lesson to start with.
Worksheets and practice
Long division with 2-digit divisors worksheet: printable PDF with an answer key.
Last reviewed
Questions parents ask
What division should a 5th grader know?
Dividing up to 4-digit numbers by 2-digit numbers, estimating quotients, explaining answers with area models, writing remainders as fractions, and starting decimal and unit fraction division.
Why is division by 2-digit numbers hard?
Each quotient digit has to be estimated. Rounding the divisor to the nearest ten and writing a multiples list makes each step a times table question.
Is there a 5th grade division quiz?
Yes. The quiz at the top of this page has 10 mixed grade 5 division questions. Each one is marked straight away, with a hint for every mistake. Play again for a fresh set, or try the division quiz for every grade.
What is class 5 division?
Class 5 in India and grade 5 in the US cover very similar division skills. This page lists them in order, starting with estimating quotients, partial quotients with 2-digit divisors, long division.
How much division practice does a 5th grader need?
About 10 minutes a day: 5 minutes of facts with the trainer and 5 minutes on the current skill. Short daily practice works better than long weekly sessions.