Hope you enjoyed the video!
Thanks for watching!
You have remaining on your free trial.
4 Free Lessons Left
Get unlimited access to all videos and lesson plans with a membership.
So you can keep watching more great videos in class, ask your teacher or principal to get a School plan membership.
We hope you enjoyed trying 5 lessons!
Become a member to get full access to our entire library of learning videos, reading material, quiz games, simple DIY activities & more.
Become a member to get full access to our entire library of learning videos, quiz games, & more.
Plans & PricingWe now offer home science kits so you can do fun experiments at home.
Explore the KitCreate a free account to continue watching
Welcome to Our New Math Lessons!
Your subscription is currently only to our science lessons.
5 Free Math Lessons Left
Add Math To My Plan (+$50/yr)We hope you enjoyed sampling 5 Math Lessons!
Your subscription is currently only to our science lessons.
Add Math To My Plan (+$50/yr)0 Free Math Lessons Left
Create a free account
to watch this full video.
* no credit card needed *
Try it Free Continue with previewCreate a free account
to watch this full video.
Start your free trial!
Access All Videos
and Lessons, No Limits.
Access All Videos
No credit card required,
takes 7 sec to signup.
No card required
Ready-to-go lessons
that save you time.
Ready-to-go lessons
Oops! It looks like your security settings are blocking this video 🙁
If you are on a school computer or network, ask your tech person to whitelist these URLs:
*.wistia.com, fast.wistia.com, fast.wistia.net, embedwistia-a.akamaihd.net
Sometimes a simple refresh solves this issue. If you need further help, contact us.
Create a free account to unlock all content!
Get Full AccessNEW! Bring the Fun Home with Our Epic Science Kits
Explore The KitsDivision Using Partial Quotients (The Big 7 Model)
Sorry, student links are only for classroom & school accounts.
Please login to generate a student link.
Generate Student Link
- Show lesson plan & teacher guide
- Show answers to discussion questions
- Show video only
- Allow visiting of other pages
- Hide assessments
What you will learn from this videoWhat you will learn
- We'll learn how to do division using partial quotients.
- We'll see how THIS strategy can help us divide 2, 3 and 4 digit numbers!
- And we'll discover how division using partial quotients can help us setup gumball machines, decorate for a school event and raise money for charity!
- Discussion Questions
Before Video
In a division problem like 24 ÷ 8 = 3, what is the dividend? What is the divisor? What is the quotient?ANSWERIn 24 ÷ 8 = 3, 24 is the dividend, the amount being divided. 8 is the divisor. In different contexts, the divisor may be the number of equal groups or the number in each group. 3 is the quotient, the result of dividing.
Multiplication and division are inverse operations. A division problem is equivalent to a missing factor multiplication problem. A ÷ B = ? is equivalent to B × ? = A.
8 × 3 = 24. So, 24 ÷ 8 = 3.
I can make a rectangle and divide that rectangle into two parts. One part I can label 80 and the other part I can label 4 to show a total of 84. On one side of the rectangle I label 4 for the divisor. I can find the quotient by finding the quotient in each part of the rectangle. 84 ÷ 4 = 20. 4 ÷ 4 = 1. The quotient is 20 + 1 = 21.
120 is 1 hundred, 2 tens, and 0 ones. I cannot divide 1 hundred into 3 equal groups so I rewrite it as 12 tens. 12 tens can be divided into 3 equal groups of 4 tens. Each group has 4 tens, or 40. So, 120 ÷ 3 = 40.
After Video
What are partial quotients?ANSWERPartial quotients are all the lesser quotients that I find in the process of finding the full quotient. I add the partial quotients together to find the full quotient.
I record the partial quotients on the right side of the 7. I record the subtractions showing how much is left on the left (inside) of the 7.
It is more efficient to find fewer partial quotients (using greater numbers divided in each round), but any combination is correct as long as the sum of the partial quotients is the same. So, if the quotient is 25, partial quotients could be 10 + 10 + 5, or 20 + 5, or other variations.
No. Regardless of the size of the divisor, I can subtract multiples of the divisor from the dividend and record partial quotients outside the 7.
I start by drawing the big 7 and writing 847 and 3 at the top. Then I find products of 3 and other numbers that I can subtract from the dividend, 847. 3 × 200 = 600 is a number close to 847. Write 200 as a partial quotient and record 847 – 600 = 247 inside the 7. There is 247 left to divide. 3 × 60 = 180. Write 60 as a partial quotient and record 247 – 180 = 67 inside the 7. There is 67 left to divide. 3 × 20 = 60. Write 20 as a partial quotient and record 67 – 60 = 7 inside the 7. Lastly, 3 × 2 = 6. Write 2 as a partial quotient and record 7 – 6 = 1 inside the 7. The quotient is the total of the partial quotients: 200 + 60 + 20 + 2 = 282 with 1 remaining.
- Vocabulary
- Quotient DEFINE
The number that is the result of the division.
- Partial Quotient DEFINE
A method to solve larger division problems by breaking the process into multiple smaller division problems.
- Remainder DEFINE
The number left after a division is completed.
- Factor DEFINE
A number that, when multiplied by another number, gives a product.
- Dividend DEFINE
The number that is divided in a division expression.
- Divisor DEFINE
The number that divides another number in a division expression.
- Quotient DEFINE
- Reading Material
- Practice Word Problems
- Practice Number Problems
- Lesson Plan
- Teacher Guide