Partial quotients worksheet
Partial quotients (chunking): take away easy chunks such as 100 or 10 groups, then add the chunks. Twelve problems, each with a chunks column.
Download the free partial quotients worksheet (PDF)
Partial quotients worksheet
What’s on the worksheet
- 12 questions on partial quotients, sized for US Letter paper
- 2 pages of questions plus an answer key on the last page
- Written for grades 4–5, matching Common Core 4.NBT.B.6, 5.NBT.B.6
- Name and date lines at the top, and room to show the work
Sample questions from this worksheet
- 696 ÷ 3
- 844 ÷ 4
- 920 ÷ 8
- 1,036 ÷ 3
- 3,254 ÷ 8
- 2,674 ÷ 4
Preview the worksheet and answer key
Make a new partial quotients worksheet
Need another page for extra practice, a retake or a second group in class? The free Mathify Kids test maker builds a fresh partial quotients worksheet with different numbers every time. Choose how many questions, print it with its own answer key, or let your child take it on screen and see the score straight away.
Partial quotients: a worked example (852 ÷ 6)
- Take away 100 sixes: 852 − 600 = 252.
- Take away 40 sixes: 252 − 240 = 12. Then 2 sixes: 12 − 12 = 0.
- Add the chunks: 100 + 40 + 2 = 142.
What each part practices
- Part A (questions 1–6): 3-digit numbers divided by 1-digit numbers, like 696 ÷ 3. Each problem has a chunks column to record 100s, 10s and ones.
- Part B (7–12): 4-digit numbers, some with a remainder, like 2,674 ÷ 4. The answer key shows one set of chunks for each, such as 600 + 60 + 8 = 668 r 2.
The answer key on the last page lists every answer in order, so a grown-up or an older child can mark the sheet in a couple of minutes.
How to use it at home and in class
At home
There is no single right set of chunks. Praise any sensible chunks that reach the right answer. Ten problems a day works better than a whole sheet at once. Mark them together with the answer key, then ask your child to explain one they got wrong: finding the mistake themselves is where the learning happens.
In class
Use the first row as a warm-up, a full page for independent practice, or five questions as an exit ticket. For a retake or a second group, make a new version with the test maker so every child gets different numbers.
Mistakes to watch for
- Adding the amounts taken away instead of the number of groups.
- Taking a chunk bigger than what is left.
What to practice before and after partial quotients
- Before: 3-digit by 1-digit division. If this sheet is a struggle, go back a step.
- After: long division, once this one is mostly right.
- Learn it first: the partial quotients lesson and the division chart.
More division worksheets
Last reviewed
Questions parents ask
What is the partial quotients method?
A way to divide by taking away easy chunks of the divisor, like 100 or 10 groups, and adding the chunks. It is also called chunking.
What grade is this partial quotients worksheet for?
It is written for grades 4–5 and matches Common Core standards 4.NBT.B.6, 5.NBT.B.6.
Can I get a different version of this partial quotients worksheet?
Yes. Use the free Mathify Kids test maker to make a new partial quotients worksheet with different numbers every time, with its own answer key.