Teaching mathematics
Teaching mathematics

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

Teaching mathematics

Division by partitioning can be a useful strategy

Partitioning the number into a multiple of the divisor plus the remainder is a useful way if a learner is familiar with their multiplication tables. For example, 84 ÷ 7:

Activity 6 Division by partitioning

Timing: Allow 10 minutes

Calculate 136 ÷ 4 using the partition method. Then watch Video 2 for a demonstration of one way to do this.

Download this video clip.Video player: Video 2 Dividing 136 by 4 using partitioning
Skip transcript: Video 2 Dividing 136 by 4 using partitioning

Transcript: Video 2 Dividing 136 by 4 using partitioning

INSTRUCTOR:
I'm going to work out 136 divide by 4 using the partition method. That means I'm going to split 136 into parts. And then I will work out how many 4's go into those parts.
I know that 4 goes into 100, so I'm going to split 136 into 100, and then the amount left over is 36. 4's into 100, there are 25 of these. And then into 36, 4 goes 9 times. So altogether, I've got 25 4's and 9 4's. That makes 34. Finally, 136 divided by 4 is 34.
End transcript: Video 2 Dividing 136 by 4 using partitioning
Video 2 Dividing 136 by 4 using partitioning
Interactive feature not available in single page view (see it in standard view).
TM_1

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371