Division with partial quotients
Solve division problems by adding partial quotients. Use the example to see the method before printing.
Sample worksheet
Download the sample worksheet and answer key, or open the builder to change the settings.
Download sample PDF
Change the settings
Before starting: Multiply by tens and subtract multiples of the divisor without losing the running remainder.
After this: Compare two valid choices of chunks and check the total quotient by multiplication.
Example questions
- 156 / 6
- 728 / 8
- 1,248 / 12
Settings in the builder
- dividend range
- divisor range
- partial-quotient layout
Worked example
156 / 6
Answer: 26
How to solve it
Subtract 120, which is 20 groups of 6, leaving 36. Subtract 36, which is 6 more groups. Add the partial quotients: 20 + 6 = 26.
Common mistakes
What to check
- choosing a chunk larger than the dividend
- forgetting to combine partial quotients
Ways to review the work
- 1
Accept different efficient chunks and verify the quotient by multiplication.
- 2
Have two learners choose different subtraction chunks and compare their final quotients.
Teaching content updated 2026-09-05. Read our accuracy standards.