Which quotient matches the description for 525 divide by 25 using partial quotients ?

Step 1: Subtract ( 10 x 25 ) from 525 to get 275.
Step 2: Subtract ( 10 x 25 ) from 275 to get 25.
Step 3: Subtract ( 1 x 25 ) from 25 to get 0.
Step 4: Add the partial quotients.

11
21
25
30

1 answer

To find the quotient of 525 divided by 25 using partial quotients, let's follow the steps you've outlined and then add up the partial quotients to see which of the given options matches.

  1. Start with 525.
  2. Subtract (10 x 25) = 250 from 525:
    • 525 - 250 = 275
    • Partial quotient so far: 10
  3. Subtract (10 x 25) = 250 from 275:
    • 275 - 250 = 25
    • Partial quotients now: 10 + 10 = 20
  4. Subtract (1 x 25) = 25 from 25:
    • 25 - 25 = 0
    • Partial quotients now: 20 + 1 = 21

Now we add up the partial quotients:

  • 10 + 10 + 1 = 21

Therefore, the quotient that matches the description is 21.