2. Did you use partial quotients or another method to divide 102 by 6 in problem 1? Explain.

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In **Problem 1**, I used the **partial quotients method** to divide **102 by 6**. Here's an explanation of how this method works and how it was applied:

### **Partial Quotients Method Explained**

The partial quotients method is a division technique that breaks down a complex division problem into simpler, more manageable parts. Instead of performing the division all at once, you subtract multiples of the divisor from the dividend in stages, keeping track of each multiple used. This approach is especially useful for mental math and for understanding the division process conceptually.

### **Step-by-Step Application to 102 ÷ 6**

1. **Start with the Dividend and Divisor:**
   - **Dividend:** 102
   - **Divisor:** 6

2. **Determine a Multiple of 6 that is Easy to Subtract from 102:**
   - 6 × 10 = 60

3. **Subtract This Multiple from the Dividend:**
   - 102 - 60 = 42
   - **Partial Quotient:** 10

4. **Repeat the Process with the New Dividend (42):**
   - 6 × 7 = 42

5. **Subtract Again:**
   - 42 - 42 = 0
   - **Partial Quotient:** 7

6. **Sum All Partial Quotients:**
   - 10 + 7 = 17

### **Conclusion**

So, **102 ÷ 6 = 17** using the partial quotients method. This method simplifies the division by handling larger chunks first and progressively working down to smaller, more manageable numbers. It not only makes the calculation easier but also provides a clear visual representation of how the division is performed.

If you have any further questions or need clarification on another method, feel free to ask!
I used the partial quotients method to divide 102 by 6, resulting in 17.

2. Did you use partial quotients or another method to divide 102 by 6 in problem 1? Explain.

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