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Esa Helttula
Partial Quotients Division
Post Date:
2016-10-28 04:52:17

Download Partial Quotients Division »

This math app can be used to teach and study the partial quotients division method. The app is easy to use and it has an intuitive interactive interface with customizable colors and other settings. The user can solve random and custom division problems.

Endorsed by teachers

Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada:

“The math apps by Esa Helttula allow students to practice and reinforce the specific computation strategies taught in class, with as much or as little scaffolding as necessary.
They also provide individualized feedback to each student, with an immediacy that is not always possible through pencil and paper practice. Being able to adjust the level of difficulty to suit their needs is also very motivating for the students. I am so glad to have come across this great educational tool!”

Zachariah R. Prowell, Highlands Elementary, Edina, Minnesota, USA:

“In my class I have used them to assist students with seeing the steps to properly completing multiplication opperations such as partial products and partial quotients. There are students who see my examples who still need some guidance, and after using your app have said, “Now I get it.” The feature of selecting possible solutions in each step helps some of my students who are still building their multiplication facts. They can gain experience in using these new concepts but not be left behind.
Helping student understanding are the animations. They are smooth and really illustrate a step-by-step understanding of how to complete new styles of multiplication.”

The Partial Quotients Division Method

The traditional long division method can be difficult to understand because it is so abstract. In the partial quotients method the student can make a series of estimates and then add the estimated quotients together.

In the example 992/8 the first estimation can be 100, which leaves 192. Next estimation can be 20 which leaves 32. Now the student knows that 8 goes 4 times into 32 and the result can be found by adding up the partial quotients 100, 20 and 4. Each student can use the quotients that he or she finds the easiest.

In the Everyday Mathematics curriculum the partial quotients division method is the focus algorithm for division.

The App is Easy to Use

After the user solves each operation or inputs a new estimate, the correct answer will fly to the right place. If the user presses the wrong button or gives an impossible estimate the answer will appear above the keyboard but it will not move.

The App Has The Following Settings

– The dividend can have from 2 to 5 digits
– The divisor can have 1 or 2 digits
– Random and custom problems
– The current operation can be hidden
– The operands of the current operation can be highlighted
– Colors of the interface can be changed
– The speed of the animations can be set

Video of the app

You can see a video of the Partial Quotients Division app in action at my site

Feedback and Requests for New Features

I have made this app to be a useful teaching and learning tool for those children and parents that use the Everyday Mathematics curriculum. New ideas to make this app better are welcome.

Please give feedback at iTunes or visit my site and give feedback there about this application. Please tell me if you have any ideas for new features.

My other math apps

Some of my 16 other math apps are Column Subtraction, Column Addition, Long Division, Long Multiplication, Fraction Math, Partial Differences Subtraction, Lattice Multiplication, etc.


  • Partial Quotients Division Screenshot
  • Partial Quotients Division Screenshot

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