Partial Quotient

Partial Quotient

by Nicole Angelo

​2021

​Vocabulary

​To be successful with division, you need to KNOW the vocabulary!

​

​dividend

​

​divisor

​

​quotient

​

​remainder

​Definitions - learn it, live it and love it

​Definitions - learn it, live it and love it

​Definitions - learn it, live it and love it

Multiple Choice

$$126\ \div\ 5\ =25\ r\ 1$$  

This number is the left overs that can not be broken up into the groups.

• divisor

• dividend

• quotient

• remainder

Multiple Choice

$$126\ \div\ 5\ =\ 25\ r\ 1$$  

Select the number that represents the dividend.

• 126

• 5

• 25

• 1

What is partial quotients?

Partial quotients is a division strategy that uses friendly multiplication facts to determine the quotient.

​Steps to solving partial quotients

• ​Determine which number represents the divisor and write the three friendly facts.

• ​Next, you are to write the multiples of your friendly facts, with the multiple NOT to exceed the dividend.

• ​Subtract out the biggest multiple, noting the multiplication fact that makes the multiple and circling how many times you used the divisor.

• ​Continue the above step until you reach zero or as close to zero as possible.

• ​Lastly, to determine the quotient, add the numbers that you circled.

​Determine the quotient using partial quotients.

​First - Friendly Facts

​Second - multiples of friendly facts

Third - subtraction using facts until you get to 0

Fourth - add the circled numbers to determine the quotient

Multiple Choice

What is the first step in the partial quotient strategy for division?

• Add the circled numbers to determine the quotient.

• Determine the friendly facts of the divisor.

• Subtract out multiples of the divisor.

• Create the multiples of your friendly facts.

Multiple Choice

Which step number is creating multiples from your friendly facts?

• First

• Second

• Third

• Fourth

Practice

Solve the above problem using partial quotient.

Click to the next slide to see the answer.​

Multiple Choice

$$351\ \div\ 3\ =\ ?$$  

What is the quotient?

• 171

• 107

• 117

• 71

Use partial quotient to solve the above problem.​

Multiple Choice

$$765\ \div\ 9$$  

Select the answer that shows friendly facts to the above problem.

• 9x10=90

  9x20=180

  9x50=450

• 9x1=9

  9x2=17

  9x5=44

• 9x1=9

  9x2=18

  9x5=45

• 9x10=90

  9x20=170

  9x50=440

Multiple Choice

$$765\ \div\ 9$$  

What is the quotient?

• 85

• 84

• 83

• 82

Multiple Choice

What is the quotient of

$$3,054\ \div\ 3?$$  

• 118

• 1108

• 1018