Question

There are two parts to the following question. First, answer part A. Then, answer part B.

Brianna and Gavin used partial quotients to show
552
÷
23
. See their work below.

Brianna's work Gavin's work
Step 1: Subtract
(
20
×
23
)
from 552 to get 92. Step 1: Subtract
(
10
×
23
)
from 552 to get 322.
Step 2: Subtract
(
4
×
23
)
from 92 to get 0. Step 2: Subtract
(
10
×
23
)
from 322 to get 92.
Step 3: Add partial quotients. Step 3: Subtract
(
2
×
23
)
from 92 to get 46.
Step 4: Subtract
(
2
×
23
)
from 46 to get 0.
Step 5: Add the partial quotients.




Part A
Which student(s) correctly calculated the quotient? Explain your answer.

Answer 1

Answer:

Step 1: Subtract from the dividend an easy multiple (for example 100×, 10×, 5× 2×, etc.) of the divisor.

Step 2: Repeat the subtraction until the large number has been reduced to zero or the remainder is less than the divisor.

Step 3: Add up the multipliers of the divisor that were used in the repeated subtraction to find the answer of the division.

The following diagram shows how to divide using the partial quotient method. Scroll down the page for more examples and solutions.

Partial Quotients Division

Demonstration to help parents teach or assist in using partial quotients division at home

Example:

483 ÷ 13

Answer 2

Answer:

The answer to the question is in a step-by-step format in the following way:

Step 1: Subtract from the dividend a simple multiple of the divisor (such as 100, 10, 5, 2, etc.).

Step 2: Continue subtracting until the big number is zero or the remainder is smaller than the divisor.

Step 3: To determine the division solution, add the multipliers of the divisor that were used in the repeated subtraction.

The partial quotient technique of division is demonstrated using the diagram below. To get more examples and solutions, scroll down the page.

Division of Partial Quotients

a demonstration to assist or teach parents how to divide partial quotients at home

Example: 483 ÷ 13

#SPJ3