6th Grade Math · Multi-Digit Division
With remainders Worksheets
Fresh practice, ready to print. Answer key included.
Four-digit and five-digit dividends that leave a remainder greater than 0.
Make it yours
Or start with a ready-made version.
How it works: a quick refresher
The rules this worksheet practices, then one problem worked from start to finish.
| Strategy | How it works |
|---|---|
| Estimate the first digits | Ask how many times the divisor fits into the first two or three digits of the dividend. |
| Multiply, subtract, bring down | After each quotient digit, multiply it by the divisor, subtract, and bring down the next digit. |
| The remainder is smaller than the divisor | If it is not, the last quotient digit can go up by one. |
| A zero in the quotient matters | If the divisor does not fit into the current number, write 0 in the quotient and bring down the next digit. |
| Check by multiplying | quotient × divisor + remainder should equal the dividend. |
Worked example
Find 1,260 ÷ 15.
- 115 goes into 126 eight times. Write 8 above the 6.
- 28 × 15 = 120, and 126 − 120 = 6. Bring down the 0 to make 60.
- 315 goes into 60 four times. 4 × 15 = 60, and 60 − 60 = 0.
- 41,260 ÷ 15 = 84. Check: 84 × 15 = 1,260.
Ready-made versions
Three fixed versions you can link to or share. Each is a PDF with its own answer key.
- With remainders Worksheets, version 1Worksheet PDFAnswer key PDF
- With remainders Worksheets, version 2Worksheet PDFAnswer key PDF
- With remainders Worksheets, version 3Worksheet PDFAnswer key PDF
Grade level and standard
Written for 6th grade math (number system) and aligned to CCSS 6.NS.B.2. It also works as review in later grades.
Common questions
- Is there an answer key?
- Yes. Every worksheet has a matching answer key with each answer worked on the same grid or layout as the question. The worksheet code printed at the bottom of each page pairs a sheet with its key.
- Why are there no commas under the division bracket?
- Long division is worked one digit at a time, and a comma gets in the way of the places, so the dividend is written without one. 10234 under the bracket is the number 10,234.
- How do we check a remainder?
- Multiply the quotient by the divisor, then add the remainder. That should equal the dividend. The remainder has to be smaller than the divisor.
- How many different versions are there?
- About a million per skill. Each time you press the button the problems are generated fresh, so you can print a different version for every student, a retake, or another night of practice.
- Are the worksheets free?
- Yes. They are free to print and copy for your home or classroom, with no sign-up.
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