5th Grade Math · Long Division with Two-Digit Divisors
With remainders Worksheets
Fresh practice, ready to print. Answer key included.
Three-digit and four-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 digit | Ask how many times the divisor fits into the first two or three digits. 14 goes into 33 two times, not one and not three. |
| 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 336 ÷ 14.
- 114 goes into 33 two times. Write 2 above the 3.
- 22 × 14 = 28, and 33 − 28 = 5. Bring down the 6 to make 56.
- 314 goes into 56 four times. 4 × 14 = 56, and 56 − 56 = 0.
- 4336 ÷ 14 = 24. Check: 24 × 14 = 336.
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 5th grade math (place value) and aligned to CCSS 5.NBT.B.6. 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 ID printed at the bottom of each page pairs a sheet with its key.
- Why do some divisors end in zero and most do not?
- A divisor such as 20 or 30 is a fair problem, but it is an easier one. Most problems use a divisor that does not end in zero so the estimate takes real work.
- Does the key show the long-division work?
- The key shows the quotient and any remainder. Check the work by multiplying: the quotient times the divisor, plus the remainder, equals the dividend.
- 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.