Question

Brianna and Gavin used partial quotations to show 552 divided by 23 see their work below Brianna Work step one subtract 20 * 23 from 552 to 92 step 2 subtract 4 * 23 from 92 to get zero step three add your partial quotients Gavin work step one subtract 10 * 23 from 552 to get 322 step two subtract 10 * 23 from 322 to get 92 step 3 subtract 2 * 23 from 92 to get 46 step 4 subtract 2 * 23 from 46 to get 0 step 5 add the patial quotients

Answer 1

Let's break down both Brianna's and Gavin's work using partial quotients to divide 552 by 23.

### Brianna's Work
1. **Step 1**: Subtract \(20 \times 23\) from 552:
\[
552 - 460 = 92
\]
2. **Step 2**: Subtract \(4 \times 23\) from 92:
\[
92 - 92 = 0
\]
3. **Step 3**: Add your partial quotients:
\[
20 + 4 = 24
\]

So, Brianna concludes that \(552 \div 23 = 24\).

### Gavin's Work
1. **Step 1**: Subtract \(10 \times 23\) from 552:
\[
552 - 230 = 322
\]
2. **Step 2**: Subtract \(10 \times 23\) from 322:
\[
322 - 230 = 92
\]
3. **Step 3**: Subtract \(2 \times 23\) from 92:
\[
92 - 46 = 46
\]
4. **Step 4**: Subtract \(2 \times 23\) from 46:
\[
46 - 46 = 0
\]
5. **Step 5**: Add the partial quotients:
\[
10 + 10 + 2 + 2 = 24
\]

So, Gavin also concludes that \(552 \div 23 = 24\).

### Conclusion
Both Brianna and Gavin arrive at the same answer, which is correct:
\[
\boxed{24}
\]