Mathematics worksheet featuring division problems with 2-digit divisors.

Problem: Division with 2-Digit Divisors

The task involves solving division problems where the divisor is a 2-digit number. We will solve each problem step by step.

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#### 1. \( 48 \div 2893 \)

- Dividend: 2893
- Divisor: 48

Perform long division:

1. Step 1: How many times does 48 go into 28? (Not possible, so consider 289.)
2. Step 2: How many times does 48 go into 289?
- \( 48 \times 6 = 288 \)
- Subtract: \( 289 - 288 = 1 \)
3. Step 3: Bring down the next digit (3). Now, we have 13.
- How many times does 48 go into 13? (Not possible.)
- The quotient is 6, and the remainder is 13.

Answer: \( 6 \) with a remainder of \( 13 \)

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#### 2. \( 52 \div 9560 \)

- Dividend: 9560
- Divisor: 52

Perform long division:

1. Step 1: How many times does 52 go into 95?
- \( 52 \times 1 = 52 \)
- Subtract: \( 95 - 52 = 43 \)
2. Step 2: Bring down the next digit (6). Now, we have 436.
- How many times does 52 go into 436?
- \( 52 \times 8 = 416 \)
- Subtract: \( 436 - 416 = 20 \)
3. Step 3: Bring down the next digit (0). Now, we have 200.
- How many times does 52 go into 200?
- \( 52 \times 3 = 156 \)
- Subtract: \( 200 - 156 = 44 \)

Answer: \( 183 \) with a remainder of \( 44 \)

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#### 3. \( 28 \div 9045 \)

- Dividend: 9045
- Divisor: 28

Perform long division:

1. Step 1: How many times does 28 go into 90?
- \( 28 \times 3 = 84 \)
- Subtract: \( 90 - 84 = 6 \)
2. Step 2: Bring down the next digit (4). Now, we have 64.
- How many times does 28 go into 64?
- \( 28 \times 2 = 56 \)
- Subtract: \( 64 - 56 = 8 \)
3. Step 3: Bring down the next digit (5). Now, we have 85.
- How many times does 28 go into 85?
- \( 28 \times 3 = 84 \)
- Subtract: \( 85 - 84 = 1 \)

Answer: \( 323 \) with a remainder of \( 1 \)

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#### 4. \( 37 \div 3786 \)

- Dividend: 3786
- Divisor: 37

Perform long division:

1. Step 1: How many times does 37 go into 37?
- \( 37 \times 1 = 37 \)
- Subtract: \( 37 - 37 = 0 \)
2. Step 2: Bring down the next digit (8). Now, we have 8.
- How many times does 37 go into 8? (Not possible, so consider 86.)
3. Step 3: How many times does 37 go into 86?
- \( 37 \times 2 = 74 \)
- Subtract: \( 86 - 74 = 12 \)

Answer: \( 102 \) with a remainder of \( 12 \)

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#### 5. \( 16 \div 8805 \)

- Dividend: 8805
- Divisor: 16

Perform long division:

1. Step 1: How many times does 16 go into 88?
- \( 16 \times 5 = 80 \)
- Subtract: \( 88 - 80 = 8 \)
2. Step 2: Bring down the next digit (0). Now, we have 80.
- How many times does 16 go into 80?
- \( 16 \times 5 = 80 \)
- Subtract: \( 80 - 80 = 0 \)
3. Step 3: Bring down the next digit (5). Now, we have 5.
- How many times does 16 go into 5? (Not possible.)

Answer: \( 550 \) with a remainder of \( 5 \)

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#### 6. \( 77 \div 9006 \)

- Dividend: 9006
- Divisor: 77

Perform long division:

1. Step 1: How many times does 77 go into 90?
- \( 77 \times 1 = 77 \)
- Subtract: \( 90 - 77 = 13 \)
2. Step 2: Bring down the next digit (0). Now, we have 130.
- How many times does 77 go into 130?
- \( 77 \times 1 = 77 \)
- Subtract: \( 130 - 77 = 53 \)
3. Step 3: Bring down the next digit (0). Now, we have 530.
- How many times does 77 go into 530?
- \( 77 \times 6 = 462 \)
- Subtract: \( 530 - 462 = 68 \)
4. Step 4: Bring down the next digit (6). Now, we have 686.
- How many times does 77 go into 686?
- \( 77 \times 9 = 693 \) (Too large, so use 8)
- \( 77 \times 8 = 616 \)
- Subtract: \( 686 - 616 = 70 \)

Answer: \( 116 \) with a remainder of \( 70 \)

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#### 7. \( 84 \div 3872 \)

- Dividend: 3872
- Divisor: 84

Perform long division:

1. Step 1: How many times does 84 go into 38?
- Not possible, so consider 387.
2. Step 2: How many times does 84 go into 387?
- \( 84 \times 4 = 336 \)
- Subtract: \( 387 - 336 = 51 \)
3. Step 3: Bring down the next digit (2). Now, we have 512.
- How many times does 84 go into 512?
- \( 84 \times 6 = 504 \)
- Subtract: \( 512 - 504 = 8 \)

Answer: \( 46 \) with a remainder of \( 8 \)

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#### 8. \( 13 \div 5678 \)

- Dividend: 5678
- Divisor: 13

Perform long division:

1. Step 1: How many times does 13 go into 56?
- \( 13 \times 4 = 52 \)
- Subtract: \( 56 - 52 = 4 \)
2. Step 2: Bring down the next digit (7). Now, we have 47.
- How many times does 13 go into 47?
- \( 13 \times 3 = 39 \)
- Subtract: \( 47 - 39 = 8 \)
3. Step 3: Bring down the next digit (8). Now, we have 88.
- How many times does 13 go into 88?
- \( 13 \times 6 = 78 \)
- Subtract: \( 88 - 78 = 10 \)

Answer: \( 436 \) with a remainder of \( 10 \)

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#### 9. \( 65 \div 54321 \)

- Dividend: 54321
- Divisor: 65

Perform long division:

1. Step 1: How many times does 65 go into 54?
- Not possible, so consider 543.
2. Step 2: How many times does 65 go into 543?
- \( 65 \times 8 = 520 \)
- Subtract: \( 543 - 520 = 23 \)
3. Step 3: Bring down the next digit (2). Now, we have 232.
- How many times does 65 go into 232?
- \( 65 \times 3 = 195 \)
- Subtract: \( 232 - 195 = 37 \)
4. Step 4: Bring down the next digit (1). Now, we have 371.
- How many times does 65 go into 371?
- \( 65 \times 5 = 325 \)
- Subtract: \( 371 - 325 = 46 \)

Answer: \( 835 \) with a remainder of \( 46 \)

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#### 10. \( 94 \div 98346 \)

- Dividend: 98346
- Divisor: 94

Perform long division:

1. Step 1: How many times does 94 go into 98?
- \( 94 \times 1 = 94 \)
- Subtract: \( 98 - 94 = 4 \)
2. Step 2: Bring down the next digit (3). Now, we have 43.
- How many times does 94 go into 43? (Not possible, so consider 434.)
3. Step 3: How many times does 94 go into 434?
- \( 94 \times 4 = 376 \)
- Subtract: \( 434 - 376 = 58 \)
4. Step 4: Bring down the next digit (6). Now, we have 586.
- How many times does 94 go into 586?
- \( 94 \times 6 = 564 \)
- Subtract: \( 586 - 564 = 22 \)

Answer: \( 1046 \) with a remainder of \( 22 \)

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Final Answers:

1. \( 6 \) R \( 13 \)
2. \( 183 \) R \( 44 \)
3. \( 323 \) R \( 1 \)
4. \( 102 \) R \( 12 \)
5. \( 550 \) R \( 5 \)
6. \( 116 \) R \( 70 \)
7. \( 46 \) R \( 8 \)
8. \( 436 \) R \( 10 \)
9. \( 835 \) R \( 46 \)
10. \( 1046 \) R \( 22 \)

\[
\boxed{
\begin{array}{ll}
6 \text{ R } 13 & 183 \text{ R } 44 \\
323 \text{ R } 1 & 102 \text{ R } 12 \\
550 \text{ R } 5 & 116 \text{ R } 70 \\
46 \text{ R } 8 & 436 \text{ R } 10 \\
835 \text{ R } 46 & 1046 \text{ R } 22 \\
\end{array}
}
\]