1-Digit Divisor with 3-Digit Dividend: With Remainders - Math worksheet for practicing division problems with remainders.

Problem Description:

The task involves solving division problems where a 3-digit dividend is divided by a 1-digit divisor. The goal is to find the quotient and the remainder for each division problem.

Solution Approach:

For each division problem, we will:
1. Divide the dividend by the divisor.
2. Determine the quotient (the result of the division).
3. Calculate the remainder (what's left over after dividing).

Let’s solve each problem step by step.

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Problem 1: \( 2 \div 563 \)

- Dividend: 563
- Divisor: 2

#### Step 1: Perform the division
\[ 563 \div 2 = 281 \text{ R } 1 \]

- Quotient: 281
- Remainder: 1

Answer: \( 281 \text{ R } 1 \)

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Problem 2: \( 7 \div 234 \)

- Dividend: 234
- Divisor: 7

#### Step 1: Perform the division
\[ 234 \div 7 = 33 \text{ R } 3 \]

- Quotient: 33
- Remainder: 3

Answer: \( 33 \text{ R } 3 \)

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Problem 3: \( 7 \div 912 \)

- Dividend: 912
- Divisor: 7

#### Step 1: Perform the division
\[ 912 \div 7 = 130 \text{ R } 2 \]

- Quotient: 130
- Remainder: 2

Answer: \( 130 \text{ R } 2 \)

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Problem 4: \( 8 \div 541 \)

- Dividend: 541
- Divisor: 8

#### Step 1: Perform the division
\[ 541 \div 8 = 67 \text{ R } 5 \]

- Quotient: 67
- Remainder: 5

Answer: \( 67 \text{ R } 5 \)

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Problem 5: \( 3 \div 733 \)

- Dividend: 733
- Divisor: 3

#### Step 1: Perform the division
\[ 733 \div 3 = 244 \text{ R } 1 \]

- Quotient: 244
- Remainder: 1

Answer: \( 244 \text{ R } 1 \)

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Problem 6: \( 7 \div 563 \)

- Dividend: 563
- Divisor: 7

#### Step 1: Perform the division
\[ 563 \div 7 = 80 \text{ R } 3 \]

- Quotient: 80
- Remainder: 3

Answer: \( 80 \text{ R } 3 \)

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Problem 7: \( 6 \div 347 \)

- Dividend: 347
- Divisor: 6

#### Step 1: Perform the division
\[ 347 \div 6 = 57 \text{ R } 5 \]

- Quotient: 57
- Remainder: 5

Answer: \( 57 \text{ R } 5 \)

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Problem 8: \( 2 \div 115 \)

- Dividend: 115
- Divisor: 2

#### Step 1: Perform the division
\[ 115 \div 2 = 57 \text{ R } 1 \]

- Quotient: 57
- Remainder: 1

Answer: \( 57 \text{ R } 1 \)

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Problem 9: \( 8 \div 903 \)

- Dividend: 903
- Divisor: 8

#### Step 1: Perform the division
\[ 903 \div 8 = 112 \text{ R } 7 \]

- Quotient: 112
- Remainder: 7

Answer: \( 112 \text{ R } 7 \)

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Problem 10: \( 5 \div 562 \)

- Dividend: 562
- Divisor: 5

#### Step 1: Perform the division
\[ 562 \div 5 = 112 \text{ R } 2 \]

- Quotient: 112
- Remainder: 2

Answer: \( 112 \text{ R } 2 \)

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Problem 11: \( 8 \div 763 \)

- Dividend: 763
- Divisor: 8

#### Step 1: Perform the division
\[ 763 \div 8 = 95 \text{ R } 3 \]

- Quotient: 95
- Remainder: 3

Answer: \( 95 \text{ R } 3 \)

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Problem 12: \( 5 \div 819 \)

- Dividend: 819
- Divisor: 5

#### Step 1: Perform the division
\[ 819 \div 5 = 163 \text{ R } 4 \]

- Quotient: 163
- Remainder: 4

Answer: \( 163 \text{ R } 4 \)

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Final Answers:

1. \( 281 \text{ R } 1 \)
2. \( 33 \text{ R } 3 \)
3. \( 130 \text{ R } 2 \)
4. \( 67 \text{ R } 5 \)
5. \( 244 \text{ R } 1 \)
6. \( 80 \text{ R } 3 \)
7. \( 57 \text{ R } 5 \)
8. \( 57 \text{ R } 1 \)
9. \( 112 \text{ R } 7 \)
10. \( 112 \text{ R } 2 \)
11. \( 95 \text{ R } 3 \)
12. \( 163 \text{ R } 4 \)

\boxed{
\begin{array}{cccc}
1. & 281 \text{ R } 1 & 2. & 33 \text{ R } 3 \\
3. & 130 \text{ R } 2 & 4. & 67 \text{ R } 5 \\
5. & 244 \text{ R } 1 & 6. & 80 \text{ R } 3 \\
7. & 57 \text{ R } 5 & 8. & 57 \text{ R } 1 \\
9. & 112 \text{ R } 7 & 10. & 112 \text{ R } 2 \\
11. & 95 \text{ R } 3 & 12. & 163 \text{ R } 4 \\
\end{array}
}