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Division Facts - Worksheet 8 - 3rd Grade

Hard

Learn division facts using the relationship to multiplication (Hard)

38 problems · 10-15 minutes · Skills: division, fluency

About This Worksheet

This hard-level worksheet contains 38 problems designed for 3rd Grade students practicing division facts. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Division fact fluency is built on — and reinforces — multiplication fluency. Students who know their times tables can derive every division fact, which is why learning them together as fact families is so efficient.

  • Use multiplication facts to derive division facts
  • Recall division facts for divisors 1 through 10
  • Understand division as finding an unknown factor
  • Write related multiplication equations to check division answers
  • Identify missing dividends or divisors using known division facts

How to Solve: Worked Example

Example Problem: Solve the first problem on the worksheet.
Solution Steps:
  1. Read the problem carefully.
  2. Identify what is being asked.
  3. Use what you know to find the answer.
  4. Check your work.
Answer: See the answer key below
Tip: Take your time and read each problem carefully before answering!
1
58 ÷ 8 = ___ R ___
2
69 ÷ 8 = ___ R ___
3
31 ÷ 7 = ___ R ___
4
33 students split into groups of 7. How many full groups? How many left over?
5
14 students split into groups of 3. How many full groups? How many left over?
6
65 ÷ 8 = ___ R ___
7
22 students split into groups of 5. How many full groups? How many left over?
8
36 students split into groups of 7. How many full groups? How many left over?
9
14 ÷ 4 = ___ R ___
10
22 ÷ 4 = ___ R ___
11
23 students split into groups of 3. How many full groups? How many left over?
12
35 ÷ 8 = ___ R ___
13
33 ÷ 8 = ___ R ___
14
38 ÷ 4 = ___ R ___
15
10 ÷ 3 = ___ R ___
16
42 students split into groups of 5. How many full groups? How many left over?
17
52 students split into groups of 7. How many full groups? How many left over?
18
49 students split into groups of 5. How many full groups? How many left over?
19
38 ÷ 7 = ___ R ___
20
32 ÷ 6 = ___ R ___
21
79 ÷ 9 = ___ R ___
22
16 ÷ 5 = ___ R ___
23
46 students split into groups of 5. How many full groups? How many left over?
24
23 students split into groups of 5. How many full groups? How many left over?
25
29 students split into groups of 6. How many full groups? How many left over?
26
15 ÷ 4 = ___ R ___
27
28 students split into groups of 5. How many full groups? How many left over?
28
13 ÷ 3 = ___ R ___
29
30 ÷ 4 = ___ R ___
30
37 ÷ 4 = ___ R ___
31
85 students split into groups of 9. How many full groups? How many left over?
32
19 ÷ 3 = ___ R ___
33
59 students split into groups of 6. How many full groups? How many left over?
34
29 ÷ 4 = ___ R ___
35
29 students split into groups of 9. How many full groups? How many left over?
36
33 students split into groups of 5. How many full groups? How many left over?
37
22 ÷ 4 = ___ R ___
38
68 students split into groups of 9. How many full groups? How many left over?

Answer Key

1. 7 R 22. 8 R 53. 4 R 34. 4 groups, 5 left over5. 4 groups, 2 left over6. 8 R 17. 4 groups, 2 left over8. 5 groups, 1 left over9. 3 R 210. 5 R 211. 7 groups, 2 left over12. 4 R 313. 4 R 114. 9 R 215. 3 R 116. 8 groups, 2 left over17. 7 groups, 3 left over18. 9 groups, 4 left over19. 5 R 320. 5 R 221. 8 R 722. 3 R 123. 9 groups, 1 left over24. 4 groups, 3 left over25. 4 groups, 5 left over26. 3 R 327. 5 groups, 3 left over28. 4 R 129. 7 R 230. 9 R 131. 9 groups, 4 left over32. 6 R 133. 9 groups, 5 left over34. 7 R 135. 3 groups, 2 left over36. 6 groups, 3 left over37. 5 R 238. 7 groups, 5 left over

Frequently Asked Questions

How do I download this division facts - worksheet 8 worksheet?

Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.

How do I find worksheets at different difficulty levels?

Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.

What skills does this division worksheet cover?

This worksheet focuses on division, fluency. It is designed for 3rd Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 38 problems. It typically takes 10-15 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.