Question

Which quotient matches the description for 525 /25 using partial quotient

Answer 1

To solve \( 525 \div 25 \) using the method of partial quotients, we want to break down the division into simpler steps.

1. **Divide the numbers**:
We want to see how many times 25 can fit into 525. We can start with some easy multiples of 25.

2. **Find multiples of 25**:
- Starting with 25, we find:
- \( 25 \times 10 = 250 \)
- \( 25 \times 20 = 500 \)
- \( 25 \times 21 = 525 \)

3. **Subtract and continue**:
- First, we can take \( 25 \times 20 = 500 \).
- Subtract that from 525:
\[
525 - 500 = 25
\]
- Now we see how many times 25 fits into the remainder:
\[
25 \div 25 = 1
\]

4. **Combine partial quotients**:
- From Step 2, we found that \( 25 \) fits into \( 525 \) \( 20 \) times, and we found one more time in the remaining \( 25 \).
- Thus, the total is:
\[
20 + 1 = 21
\]

So the complete quotient of \( 525 \div 25 \) using the method of partial quotients is **21**.