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To solve this, we need to divide 74 by 2 using partial quotients. The correct combinations will consist of numbers that, when added together, produce the quotient of 74 divided by 2, which is 37.

Let's analyze each option:
1. **10, 10, 10, 2**: These add up to 32, not 37. So, this is incorrect.
2. **20, 10, 7**: These add up to 37, making this a correct option.
3. **30, 2**: These add up to 32, not 37. So, this is incorrect.
4. **30, 7**: These add up to 37, making this a correct option.
5. **30, 10, 7**: These add up to 47, not 37. So, this is incorrect.

### Correct answers
- **20, 10, 7**
- **30, 7**

Would you like further explanation on how partial quotients work?

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Here are some related questions:
1. What are partial quotients, and why are they used in division?
2. Can partial quotients be used for any division problem?
3. How do partial quotients simplify the division process for larger numbers?
4. What are other methods for dividing numbers besides partial quotients?
5. How does estimation help in finding partial quotients?

**Tip:** When using partial quotients, choose numbers that are easy to multiply back into the divisor to check the accuracy of your work.

Select all correct combinations of partial quotients that can be used to find 74 ÷ 2.

Explore how to select the correct combinations of partial quotients that add up to the division result of 74 ÷ 2, which equals 37. This problem is ideal for Grade 4 students learning about partial quotients in division.

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