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.