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Will wanted to solve the problem
468
÷
12
468
÷
12
using partial quotients.

Which of the methods could be used to find the quotient? Select all that apply.

A.
Subtract (
10
×
12
10
×
12
) from 468 to get 348. Subtract (
3
×
12
3
×
12
) from 348 to get 312. Subtract (
9
×
12
9
×
12
) from 292.

B.
Subtract (
30
×
12
30
×
12
) from 468 to get 108. Subtract (
9
×
12
9
×
12
) from 108.

C.
Subtract (
20
×
12
20
×
12
) from 468 to get 228. Subtract (
10
×
12
10
×
12
) from 228 to get 108. Subtract (
3
×
12
3
×
12
) from 108 to get 72. Subtract (
6
×
12
6
×
12
) from 72.

D.
Subtract (
30
×
12
30
×
12
) from 468 to get 108. Subtract (
4
×
12
4
×
12
) from 108 to get 60. Subtract (
4
×
12
4
×
12
) from 60.

Answer :

The method among the options that could be used to find the quotient of 468  ÷  12 using partial quotients are;

Options B and D

Will wants to divide 468  ÷  12 using partial quotients;

The dividend here is 468 and the divisor is 12.

  • Step 1; Subtract from 468 a multiple of 12. Let us use say 12 × 30 = 360.

Thus, we will have; 468 - 360 = 108

  • Step 2; We will keep repeating step 1 until the remainder is less than the divisor 12 or equal to zero.

Thus, in conclusion looking at the options the only one that corresponds to the steps above will be options B and C

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