Division
Lesson
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You divide when you want to:

 

  • separate a set into equal parts
  • share a set equally

Mary has 12 apples. She puts 4 apples into each bag. How many bags does she need?

12 4 = 3

She uses 3 bags.

Cody, Kyle, and Eric share 12 apples equally. How many apples does each boy get?

12 4 = 3

Each boy gets 4 apples.

 

Sometimes when you divide, a number is not evenly divided. There will be a remainder, or an amount left over.

Divide.  10 3 = n

What you see What you write

So, 10 3 = 3 with 1 left over, or 3 R1

 

Think of division as sharing. Suppose you are sharing 8 counters with 2 groups. How many counters would each person receive? 4

Eight can be divided into 2 equal groups, so there is no remainder.

Number in all

Number of groups

= Number in each group
8 2 = 4
   
dividend   divisor   quotient

 

Think of division as sharing. Suppose you are sharing 9 counters with 2 groups. How many counters would each person receive?
4 with 1 left over, or 4 R1

Example 2

Nine can not be divided into 2 equal groups, so there is a remainder.

Number in all

Number of groups

= Number in each group
9 2 = 4 R1
   
dividend   divisor   quotient

 

Remember:
The basic rules for division can be represented as:

n 1 = n       n n = 1       0 n = 0

It is impossible to divide a number by 0.

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