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Step-by-step solution for: Pin on Printable Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Pin on Printable Worksheets
The image you provided is a worksheet titled "DIVISION – 3 DIGITS BY 1 DIGIT SHEET 2." It contains several division problems where students are asked to divide three-digit numbers by single-digit divisors (specifically 2, 3, or 5). Below, I will solve the problems step by step and explain the solution process.
---
#### Problem 1:
$$
\text{Divide } 468 \div 2
$$
Solution:
1. Start with the hundreds place: $ 4 \div 2 = 2 $. Write 2 above the line.
2. Move to the tens place: $ 6 \div 2 = 3 $. Write 3 above the line.
3. Move to the ones place: $ 8 \div 2 = 4 $. Write 4 above the line.
Thus, the quotient is:
$$
\boxed{234}
$$
---
#### Problem 2:
$$
\text{Divide } 303 \div 3
$$
Solution:
1. Start with the hundreds place: $ 3 \div 3 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 0 \div 3 = 0 $. Write 0 above the line.
3. Move to the ones place: $ 3 \div 3 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{101}
$$
---
#### Problem 3:
$$
\text{Divide } 420 \div 3
$$
Solution:
1. Start with the hundreds place: $ 4 \div 3 = 1 $ remainder 1. Write 1 above the line.
2. Bring down the next digit (2) to make it 12. Divide $ 12 \div 3 = 4 $. Write 4 above the line.
3. Move to the ones place: $ 0 \div 3 = 0 $. Write 0 above the line.
Thus, the quotient is:
$$
\boxed{140}
$$
---
#### Problem 4:
$$
\text{Divide } 525 \div 5
$$
Solution:
1. Start with the hundreds place: $ 5 \div 5 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 2 \div 5 = 0 $ remainder 2. Write 0 above the line.
3. Bring down the next digit (5) to make it 25. Divide $ 25 \div 5 = 5 $. Write 5 above the line.
Thus, the quotient is:
$$
\boxed{105}
$$
---
#### Problem 5:
$$
\text{Divide } 318 \div 3
$$
Solution:
1. Start with the hundreds place: $ 3 \div 3 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 1 \div 3 = 0 $ remainder 1. Write 0 above the line.
3. Bring down the next digit (8) to make it 18. Divide $ 18 \div 3 = 6 $. Write 6 above the line.
Thus, the quotient is:
$$
\boxed{106}
$$
---
#### Problem 6:
$$
\text{Divide } 455 \div 5
$$
Solution:
1. Start with the hundreds place: $ 4 \div 5 = 0 $ remainder 4. Write 0 above the line.
2. Bring down the next digit (5) to make it 45. Divide $ 45 \div 5 = 9 $. Write 9 above the line.
3. Move to the ones place: $ 5 \div 5 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{91}
$$
---
#### Problem 7:
$$
\text{Divide } 239 \div 2
$$
Solution:
1. Start with the hundreds place: $ 2 \div 2 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 3 \div 2 = 1 $ remainder 1. Write 1 above the line.
3. Bring down the next digit (9) to make it 19. Divide $ 19 \div 2 = 9 $ remainder 1. Write 9 above the line.
Thus, the quotient is:
$$
\boxed{119} \text{ R } 1
$$
---
#### Problem 8:
$$
\text{Divide } 385 \div 5
$$
Solution:
1. Start with the hundreds place: $ 3 \div 5 = 0 $ remainder 3. Write 0 above the line.
2. Bring down the next digit (8) to make it 38. Divide $ 38 \div 5 = 7 $ remainder 3. Write 7 above the line.
3. Bring down the next digit (5) to make it 35. Divide $ 35 \div 5 = 7 $. Write 7 above the line.
Thus, the quotient is:
$$
\boxed{77}
$$
---
#### Problem 9:
$$
\text{Divide } 802 \div 2
$$
Solution:
1. Start with the hundreds place: $ 8 \div 2 = 4 $. Write 4 above the line.
2. Move to the tens place: $ 0 \div 2 = 0 $. Write 0 above the line.
3. Move to the ones place: $ 2 \div 2 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{401}
$$
---
#### Problem 10:
$$
\text{Divide } 404 \div 4
$$
Solution:
1. Start with the hundreds place: $ 4 \div 4 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 0 \div 4 = 0 $. Write 0 above the line.
3. Move to the ones place: $ 4 \div 4 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{101}
$$
---
#### Problem 11:
$$
\text{Divide } 327 \div 3
$$
Solution:
1. Start with the hundreds place: $ 3 \div 3 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 2 \div 3 = 0 $ remainder 2. Write 0 above the line.
3. Bring down the next digit (7) to make it 27. Divide $ 27 \div 3 = 9 $. Write 9 above the line.
Thus, the quotient is:
$$
\boxed{109}
$$
---
#### Problem 12:
$$
\text{Divide } 558 \div 5
$$
Solution:
1. Start with the hundreds place: $ 5 \div 5 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 5 \div 5 = 1 $. Write 1 above the line.
3. Move to the ones place: $ 8 \div 5 = 1 $ remainder 3. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{111} \text{ R } 3
$$
---
1. $ \boxed{234} $
2. $ \boxed{101} $
3. $ \boxed{140} $
4. $ \boxed{105} $
5. $ \boxed{106} $
6. $ \boxed{91} $
7. $ \boxed{119} \text{ R } 1 $
8. $ \boxed{77} $
9. $ \boxed{401} $
10. $ \boxed{101} $
11. $ \boxed{109} $
12. $ \boxed{111} \text{ R } 3 $
---
$$
\boxed{234, 101, 140, 105, 106, 91, 119 \text{ R } 1, 77, 401, 101, 109, 111 \text{ R } 3}
$$
---
Worksheet Problems:
#### Problem 1:
$$
\text{Divide } 468 \div 2
$$
Solution:
1. Start with the hundreds place: $ 4 \div 2 = 2 $. Write 2 above the line.
2. Move to the tens place: $ 6 \div 2 = 3 $. Write 3 above the line.
3. Move to the ones place: $ 8 \div 2 = 4 $. Write 4 above the line.
Thus, the quotient is:
$$
\boxed{234}
$$
---
#### Problem 2:
$$
\text{Divide } 303 \div 3
$$
Solution:
1. Start with the hundreds place: $ 3 \div 3 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 0 \div 3 = 0 $. Write 0 above the line.
3. Move to the ones place: $ 3 \div 3 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{101}
$$
---
#### Problem 3:
$$
\text{Divide } 420 \div 3
$$
Solution:
1. Start with the hundreds place: $ 4 \div 3 = 1 $ remainder 1. Write 1 above the line.
2. Bring down the next digit (2) to make it 12. Divide $ 12 \div 3 = 4 $. Write 4 above the line.
3. Move to the ones place: $ 0 \div 3 = 0 $. Write 0 above the line.
Thus, the quotient is:
$$
\boxed{140}
$$
---
#### Problem 4:
$$
\text{Divide } 525 \div 5
$$
Solution:
1. Start with the hundreds place: $ 5 \div 5 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 2 \div 5 = 0 $ remainder 2. Write 0 above the line.
3. Bring down the next digit (5) to make it 25. Divide $ 25 \div 5 = 5 $. Write 5 above the line.
Thus, the quotient is:
$$
\boxed{105}
$$
---
#### Problem 5:
$$
\text{Divide } 318 \div 3
$$
Solution:
1. Start with the hundreds place: $ 3 \div 3 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 1 \div 3 = 0 $ remainder 1. Write 0 above the line.
3. Bring down the next digit (8) to make it 18. Divide $ 18 \div 3 = 6 $. Write 6 above the line.
Thus, the quotient is:
$$
\boxed{106}
$$
---
#### Problem 6:
$$
\text{Divide } 455 \div 5
$$
Solution:
1. Start with the hundreds place: $ 4 \div 5 = 0 $ remainder 4. Write 0 above the line.
2. Bring down the next digit (5) to make it 45. Divide $ 45 \div 5 = 9 $. Write 9 above the line.
3. Move to the ones place: $ 5 \div 5 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{91}
$$
---
#### Problem 7:
$$
\text{Divide } 239 \div 2
$$
Solution:
1. Start with the hundreds place: $ 2 \div 2 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 3 \div 2 = 1 $ remainder 1. Write 1 above the line.
3. Bring down the next digit (9) to make it 19. Divide $ 19 \div 2 = 9 $ remainder 1. Write 9 above the line.
Thus, the quotient is:
$$
\boxed{119} \text{ R } 1
$$
---
#### Problem 8:
$$
\text{Divide } 385 \div 5
$$
Solution:
1. Start with the hundreds place: $ 3 \div 5 = 0 $ remainder 3. Write 0 above the line.
2. Bring down the next digit (8) to make it 38. Divide $ 38 \div 5 = 7 $ remainder 3. Write 7 above the line.
3. Bring down the next digit (5) to make it 35. Divide $ 35 \div 5 = 7 $. Write 7 above the line.
Thus, the quotient is:
$$
\boxed{77}
$$
---
#### Problem 9:
$$
\text{Divide } 802 \div 2
$$
Solution:
1. Start with the hundreds place: $ 8 \div 2 = 4 $. Write 4 above the line.
2. Move to the tens place: $ 0 \div 2 = 0 $. Write 0 above the line.
3. Move to the ones place: $ 2 \div 2 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{401}
$$
---
#### Problem 10:
$$
\text{Divide } 404 \div 4
$$
Solution:
1. Start with the hundreds place: $ 4 \div 4 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 0 \div 4 = 0 $. Write 0 above the line.
3. Move to the ones place: $ 4 \div 4 = 1 $. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{101}
$$
---
#### Problem 11:
$$
\text{Divide } 327 \div 3
$$
Solution:
1. Start with the hundreds place: $ 3 \div 3 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 2 \div 3 = 0 $ remainder 2. Write 0 above the line.
3. Bring down the next digit (7) to make it 27. Divide $ 27 \div 3 = 9 $. Write 9 above the line.
Thus, the quotient is:
$$
\boxed{109}
$$
---
#### Problem 12:
$$
\text{Divide } 558 \div 5
$$
Solution:
1. Start with the hundreds place: $ 5 \div 5 = 1 $. Write 1 above the line.
2. Move to the tens place: $ 5 \div 5 = 1 $. Write 1 above the line.
3. Move to the ones place: $ 8 \div 5 = 1 $ remainder 3. Write 1 above the line.
Thus, the quotient is:
$$
\boxed{111} \text{ R } 3
$$
---
Final Answers:
1. $ \boxed{234} $
2. $ \boxed{101} $
3. $ \boxed{140} $
4. $ \boxed{105} $
5. $ \boxed{106} $
6. $ \boxed{91} $
7. $ \boxed{119} \text{ R } 1 $
8. $ \boxed{77} $
9. $ \boxed{401} $
10. $ \boxed{101} $
11. $ \boxed{109} $
12. $ \boxed{111} \text{ R } 3 $
---
Boxed Final Answer:
$$
\boxed{234, 101, 140, 105, 106, 91, 119 \text{ R } 1, 77, 401, 101, 109, 111 \text{ R } 3}
$$
Parent Tip: Review the logic above to help your child master the concept of division for 4th graders worksheets.