March 2018 Question: How do you use the Partial Quotient Method of Devision? Question By: Lulu

This method is very helpful to become more familier with devision, and is useful for problems that can be evenly divided, or use remainders. However, this method cannot easily be used with integers or decimals

Below are pictures and instructions on how to use this method.

Partial Quotients Division (Step 1)
Step 1

Draw a “hangman pole” by attaching a line to a regular long division symbol. Then write your division problem inside the long division symbol.

Partial Quotients Division (Step 2)
Step 2

List as many easy to multiply facts using the devisor as you can. (Such as times 10 or 20)

Partial Quotients Division (Step 3c)
Step 3

Using your easy facts, subtract as much as you can from the dividend. (See the picture for more detail) Then write the term you multiplied the divisor by at the side of the hangman line. (Don’t worry about being perfect)

Partial Quotients Division (Step 4)
Step 4

Continue using your easy facts to subtract from the dividend untill it cannot be divided by the divisor.

Partial Quotients Division (Step 5)
Step 5

Add up the terms on the side of the hangman pole – this is your answer. (If applicable, account for the remainder)

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