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Division & Remainders · Grade 4
Division Within 100
Name
Date
Correct / 14
1
Concrete
- share it out, then count what's left
1. Draw 13 counters shared into 4 equal groups. How many in each group? Any left over?
Each group:
Left over:
2. 17 apples go into bags of 5. Draw the bags. How many full bags? How many apples left?
Full bags:
Left:
Roots of Reason
Division Within 100
Name
Date
2
Representational
- break the number into friendly chunks
3. Solve 52 ÷ 4 with the area model: 52 = 40 + 12. Write each width on top, then add them.
4
40
12
52 ÷ 4 =
3
Abstract
- just the numbers, from memory
4. 54 ÷ 6 =
5. 63 ÷ 7 =
6. 45 ÷ 9 =
7. 72 ÷ 8 =
Find the quotient and the remainder.
8. 29 ÷ 4 =
9. 50 ÷ 6 =
10. 34 ÷ 5 =
11. 61 ÷ 7 =
Roots of Reason
Division Within 100
Name
Date
Division Undoes Multiplication
Same three numbers, two directions. Write the missing number in each box.
12. The family of 3, 9, 27
3 × = 27
27 ÷ 3 =
27 ÷ = 3
13. The family of 4, 6, 24
4 × 6 =
24 ÷ 4 =
24 ÷ = 4
14. The family of 7, 8, 56. Write all four equations yourself.
If you know one multiplication fact, you already know two division facts. That is the whole trick.
Roots of Reason
rootsofreason.org
Division & Remainders · Grade 4
Division Within 100
Concrete
1. Each group: 3, left over: 1 · 2. Full bags: 3, left: 2
Representational
3. Tops: 10 and 3, so 52 ÷ 4 = 13
Abstract
4. 9 5. 9 6. 5 7. 9
8. 7 R1 9. 8 R2 10. 6 R4 11. 8 R5
8. 7 R1 9. 8 R2 10. 6 R4 11. 8 R5
Division Undoes Multiplication
12. 3 × 9 = 27 27 ÷ 3 = 9 27 ÷ 9 = 3
13. 4 × 6 = 24 24 ÷ 4 = 6 24 ÷ 6 = 4
14. 7 × 8 = 56, 8 × 7 = 56, 56 ÷ 7 = 8, 56 ÷ 8 = 7
13. 4 × 6 = 24 24 ÷ 4 = 6 24 ÷ 6 = 4
14. 7 × 8 = 56, 8 × 7 = 56, 56 ÷ 7 = 8, 56 ÷ 8 = 7
The leftover counter in problem 1 is the whole lesson: a remainder is a real object that didn't fit, not a decoration on the answer. Students who see that never write "7 remainder 1" as "71".