To solve the division problem 525 ÷ 25 using the method of partial quotients as described:
- Start with the original number: 525
- Subtract \(10 \times 25\) from 525:
- \(525 - 250 = 275\)
- Subtract \(10 \times 25\) from 275:
- \(275 - 250 = 25\)
- Subtract \(1 \times 25\) from 25:
- \(25 - 25 = 0\)
Now, you need to add the partial quotients that were used in each step:
- From step 1: 10
- From step 2: 10
- From step 3: 1
Now add them: \[ 10 + 10 + 1 = 21 \]
So, the quotient for \(525 \div 25\) using partial quotients is 21.
Therefore, the correct response is 21.