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
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.
Video 2 Dividing 136 by 4 using partitioning
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