Math Drill Pages

Long Division with Remainders Worksheet

Twelve 3-digit by 1-digit long division problems, and every one of them leaves a remainder. Students write the answer above the bracket with the remainder after an R, like 54 R 4. The answer key on page 2 shows every quotient and remainder.

Grade
Grade 4
Problems
12
Time
About 20 minutes
Standard
4.NBT.B.6
Download PDF (US Letter) Download PDF (A4)

Two pages: the worksheet, then the answer key. No sign-up needed.

Worksheet preview

Long division Divide. Write the remainder after R. Show your work.

  1. 45 R 89413
  2. 22 R 59203
  3. 323 R 23971
  4. 29 R 69267
  5. 114 R 35573
  6. 63 R 67447
  7. 48 R 13145
  8. 446 R 12893
  9. 17 R 47123
  10. 86 R 79781
  11. 189 R 25947
  12. 364 R 12729

Tips for teachers and parents

  • The division ends when there are no more digits to bring down. Whatever is left after the last subtraction is the remainder.
  • The remainder must always be smaller than the divisor. If it is not, the last digit of the answer can go up by one.
  • Check each answer: quotient × divisor + remainder should equal the starting number. For 490 ÷ 9 = 54 R 4, 54 × 9 + 4 = 490.
  • Talk about what a remainder means in real life: 490 stickers shared among 9 children gives 54 each, with 4 left over.

Common mistakes

  • Stopping too early and calling a number a remainder before every digit has been brought down.
  • Leaving the remainder out of the answer, or writing it as a decimal digit, like 54.4.

What to practice next

Students who manage these comfortably are ready for 4-digit by 1-digit long division.

Frequently asked questions

How do you write a remainder?

Write it after the quotient with a capital R, like 54 R 4. Later, students learn to write remainders as fractions or decimals.

Does every problem have a remainder?

Yes. Every problem on this sheet leaves a remainder of at least 1.

Is there an answer key?

Yes, page 2 has every quotient and remainder.