Let's solve the problems step by step.
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Part 1: Long Division Problems (3-digit ÷ 2-digit with remainder)
We have two long division problems to complete:
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####
Problem 1: 565 ÷ 43
We'll perform the division step-by-step.
Step 1: Divide 56 by 43 (first two digits of 565).
- 43 goes into 56
once (since 43 × 1 = 43).
- Write
1 above the line (over the 6).
- Subtract: 56 - 43 =
13
- Bring down the next digit: 5 → makes
135
Step 2: Now divide 135 by 43.
- 43 × 3 = 129
- 43 × 4 = 172 → too big
- So, 43 goes into 135
3 times
- Write
3 next to the 1 → quotient is
13
- Subtract: 135 - 129 =
6
So,
565 ÷ 43 = 13 remainder 6
Now fill in the boxes:
```
1 3
_______
43 | 5 6 5
- 4 3
-----
1 3
- 1 2 9
------
6
```
✔ Final answer:
13 R6
---
####
Problem 2: 760 ÷ 33
Step 1: Divide 76 by 33
- 33 × 2 = 66
- 33 × 3 = 99 → too big
- So, 33 goes into 76
2 times
- Write
2 above the 6
- Subtract: 76 - 66 =
10
- Bring down 0 → makes
100
Step 2: Divide 100 by 33
- 33 × 3 = 99
- 33 × 4 = 132 → too big
- So, 33 goes into 100
3 times
- Write
3 next to 2 → quotient is
23
- Subtract: 100 - 99 =
1
So,
760 ÷ 33 = 23 remainder 1
Fill in the boxes:
```
2 3
_______
33 | 7 6 0
- 6 6
-----
1 0
- 9 9
------
1
```
✔ Final answer:
23 R1
---
Part 2: Simple Division Problems
Now solve the smaller divisions:
a. $ 15 ÷ 3 = 5 $
b. $ 30 ÷ 6 = 5 $
c. $ 45 ÷ 9 = 5 $
d. $ 60 ÷ 12 = 5 $
e. $ 75 ÷ 15 = 5 $
f. $ 90 ÷ 18 = 5 $
g. $ 105 ÷ 21 = 5 $
h. $ 120 ÷ 24 = 5 $
i. $ 135 ÷ 27 = 5 $
✔ All answers are
5!
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✔ Final Answers:
####
Long Division:
1.
565 ÷ 43 = 13 R6
2.
760 ÷ 33 = 23 R1
####
Simple Division:
a. 5
b. 5
c. 5
d. 5
e. 5
f. 5
g. 5
h. 5
i. 5
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🔍 Explanation:
- In long division, we divide step-by-step, subtract, bring down, and repeat until all digits are used.
- For the simple problems, notice that each dividend is exactly 5 times the divisor → hence all quotients are
5.
This worksheet helps practice both long division and basic division facts. Great for reinforcing understanding! 🎉
Parent Tip: Review the logic above to help your child master the concept of dividing multi digit numbers worksheet.