Advanced math worksheet focusing on division with remainders and other operations.

The image shows a worksheet titled "Advanced Division, REM." The task is to solve division problems and find the quotients. Below is a detailed explanation of how to solve these problems step by step.

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General Approach to Solving Division Problems

1. Understand the Problem: Each problem is in the form `Dividend ÷ Divisor = Quotient`.
2. Perform Division: Divide the dividend by the divisor to find the quotient.
3. Check for Remainders: If there is a remainder, note it separately (though this worksheet focuses on quotients).
4. Write the Answer: Write the quotient in the provided space.

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Solving Each Problem

#### Problem 1: \( 51 \div 24 = 44 \)
- Step 1: Perform the division \( 51 \div 24 \).
- Step 2: \( 51 \div 24 = 2 \) with a remainder of 3.
- Quotient: \( 2 \)

#### Problem 2: \( 55 \div 20 = 45 \)
- Step 1: Perform the division \( 55 \div 20 \).
- Step 2: \( 55 \div 20 = 2 \) with a remainder of 15.
- Quotient: \( 2 \)

#### Problem 3: \( 57 \div 30 = 13 \)
- Step 1: Perform the division \( 57 \div 30 \).
- Step 2: \( 57 \div 30 = 1 \) with a remainder of 27.
- Quotient: \( 1 \)

#### Problem 4: \( 60 \div 43 = 19 \)
- Step 1: Perform the division \( 60 \div 43 \).
- Step 2: \( 60 \div 43 = 1 \) with a remainder of 17.
- Quotient: \( 1 \)

#### Problem 5: \( 63 \div 37 = \)
- Step 1: Perform the division \( 63 \div 37 \).
- Step 2: \( 63 \div 37 = 1 \) with a remainder of 26.
- Quotient: \( 1 \)

#### Problem 6: \( 65 \div 45 = \)
- Step 1: Perform the division \( 65 \div 45 \).
- Step 2: \( 65 \div 45 = 1 \) with a remainder of 20.
- Quotient: \( 1 \)

#### Problem 7: \( 69 \div 40 = \)
- Step 1: Perform the division \( 69 \div 40 \).
- Step 2: \( 69 \div 40 = 1 \) with a remainder of 29.
- Quotient: \( 1 \)

#### Problem 8: \( 72 \div 32 = \)
- Step 1: Perform the division \( 72 \div 32 \).
- Step 2: \( 72 \div 32 = 2 \) with a remainder of 8.
- Quotient: \( 2 \)

#### Problem 9: \( 75 \div 18 = \)
- Step 1: Perform the division \( 75 \div 18 \).
- Step 2: \( 75 \div 18 = 4 \) with a remainder of 3.
- Quotient: \( 4 \)

#### Problem 10: \( 76 \div 35 = \)
- Step 1: Perform the division \( 76 \div 35 \).
- Step 2: \( 76 \div 35 = 2 \) with a remainder of 6.
- Quotient: \( 2 \)

#### Problem 11: \( 79 \div 20 = \)
- Step 1: Perform the division \( 79 \div 20 \).
- Step 2: \( 79 \div 20 = 3 \) with a remainder of 19.
- Quotient: \( 3 \)

#### Problem 12: \( 81 \div 30 = \)
- Step 1: Perform the division \( 81 \div 30 \).
- Step 2: \( 81 \div 30 = 2 \) with a remainder of 21.
- Quotient: \( 2 \)

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Final Answers

Here are the quotients for each problem:

1. \( 51 \div 24 = 2 \)
2. \( 55 \div 20 = 2 \)
3. \( 57 \div 30 = 1 \)
4. \( 60 \div 43 = 1 \)
5. \( 63 \div 37 = 1 \)
6. \( 65 \div 45 = 1 \)
7. \( 69 \div 40 = 1 \)
8. \( 72 \div 32 = 2 \)
9. \( 75 \div 18 = 4 \)
10. \( 76 \div 35 = 2 \)
11. \( 79 \div 20 = 3 \)
12. \( 81 \div 30 = 2 \)

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Boxed Final Answer

\[
\boxed{2, 2, 1, 1, 1, 1, 1, 2, 4, 2, 3, 2}
\]