Short division worksheet featuring 16 problems where students divide two-digit numbers by 2, 3, 4, and 5.

Problem Description:

The task involves solving division problems using the short method of division. Some of the divisions will result in remainders, which should be included in the answers.

Solution Approach:

The short method of division (also known as "bus stop" method) involves dividing the dividend by the divisor step-by-step, writing the quotient above the dividend and noting any remainder. Here’s how to solve each problem:

#### General Steps for Short Division:
1. Divide the first digit (or digits) of the dividend by the divisor.
2. Write the quotient above the dividend.
3. Multiply the quotient by the divisor and subtract the result from the part of the dividend you used.
4. Bring down the next digit of the dividend and repeat until all digits are processed.
5. If there is a remainder, write it alongside the quotient.

Solving Each Problem:

#### 1. \( 2 \big) 35 \)
- Step 1: Divide 3 by 2. Quotient = 1, Remainder = 1.
- Step 2: Bring down 5. Now divide 15 by 2. Quotient = 7, Remainder = 1.
- Final Answer: \( 17 \) R \( 1 \)

#### 2. \( 2 \big) 59 \)
- Step 1: Divide 5 by 2. Quotient = 2, Remainder = 1.
- Step 2: Bring down 9. Now divide 19 by 2. Quotient = 9, Remainder = 1.
- Final Answer: \( 29 \) R \( 1 \)

#### 3. \( 2 \big) 86 \)
- Step 1: Divide 8 by 2. Quotient = 4, Remainder = 0.
- Step 2: Bring down 6. Now divide 6 by 2. Quotient = 3, Remainder = 0.
- Final Answer: \( 43 \)

#### 4. \( 2 \big) 49 \)
- Step 1: Divide 4 by 2. Quotient = 2, Remainder = 0.
- Step 2: Bring down 9. Now divide 9 by 2. Quotient = 4, Remainder = 1.
- Final Answer: \( 24 \) R \( 1 \)

#### 5. \( 3 \big) 78 \)
- Step 1: Divide 7 by 3. Quotient = 2, Remainder = 1.
- Step 2: Bring down 8. Now divide 18 by 3. Quotient = 6, Remainder = 0.
- Final Answer: \( 26 \)

#### 6. \( 3 \big) 82 \)
- Step 1: Divide 8 by 3. Quotient = 2, Remainder = 2.
- Step 2: Bring down 2. Now divide 22 by 3. Quotient = 7, Remainder = 1.
- Final Answer: \( 27 \) R \( 1 \)

#### 7. \( 3 \big) 97 \)
- Step 1: Divide 9 by 3. Quotient = 3, Remainder = 0.
- Step 2: Bring down 7. Now divide 7 by 3. Quotient = 2, Remainder = 1.
- Final Answer: \( 32 \) R \( 1 \)

#### 8. \( 3 \big) 64 \)
- Step 1: Divide 6 by 3. Quotient = 2, Remainder = 0.
- Step 2: Bring down 4. Now divide 4 by 3. Quotient = 1, Remainder = 1.
- Final Answer: \( 21 \) R \( 1 \)

#### 9. \( 4 \big) 56 \)
- Step 1: Divide 5 by 4. Quotient = 1, Remainder = 1.
- Step 2: Bring down 6. Now divide 16 by 4. Quotient = 4, Remainder = 0.
- Final Answer: \( 14 \)

#### 10. \( 4 \big) 70 \)
- Step 1: Divide 7 by 4. Quotient = 1, Remainder = 3.
- Step 2: Bring down 0. Now divide 30 by 4. Quotient = 7, Remainder = 2.
- Final Answer: \( 17 \) R \( 2 \)

#### 11. \( 4 \big) 93 \)
- Step 1: Divide 9 by 4. Quotient = 2, Remainder = 1.
- Step 2: Bring down 3. Now divide 13 by 4. Quotient = 3, Remainder = 1.
- Final Answer: \( 23 \) R \( 1 \)

#### 12. \( 4 \big) 39 \)
- Step 1: Divide 3 by 4. Quotient = 0, Remainder = 3.
- Step 2: Bring down 9. Now divide 39 by 4. Quotient = 9, Remainder = 3.
- Final Answer: \( 9 \) R \( 3 \)

#### 13. \( 5 \big) 83 \)
- Step 1: Divide 8 by 5. Quotient = 1, Remainder = 3.
- Step 2: Bring down 3. Now divide 33 by 5. Quotient = 6, Remainder = 3.
- Final Answer: \( 16 \) R \( 3 \)

#### 14. \( 5 \big) 49 \)
- Step 1: Divide 4 by 5. Quotient = 0, Remainder = 4.
- Step 2: Bring down 9. Now divide 49 by 5. Quotient = 9, Remainder = 4.
- Final Answer: \( 9 \) R \( 4 \)

#### 15. \( 5 \big) 77 \)
- Step 1: Divide 7 by 5. Quotient = 1, Remainder = 2.
- Step 2: Bring down 7. Now divide 27 by 5. Quotient = 5, Remainder = 2.
- Final Answer: \( 15 \) R \( 2 \)

#### 16. \( 5 \big) 94 \)
- Step 1: Divide 9 by 5. Quotient = 1, Remainder = 4.
- Step 2: Bring down 4. Now divide 44 by 5. Quotient = 8, Remainder = 4.
- Final Answer: \( 18 \) R \( 4 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 17 \text{ R } 1 \\
2. & 29 \text{ R } 1 \\
3. & 43 \\
4. & 24 \text{ R } 1 \\
5. & 26 \\
6. & 27 \text{ R } 1 \\
7. & 32 \text{ R } 1 \\
8. & 21 \text{ R } 1 \\
9. & 14 \\
10. & 17 \text{ R } 2 \\
11. & 23 \text{ R } 1 \\
12. & 9 \text{ R } 3 \\
13. & 16 \text{ R } 3 \\
14. & 9 \text{ R } 4 \\
15. & 15 \text{ R } 2 \\
16. & 18 \text{ R } 4 \\
\end{array}
}
\]