**? Besides being one of the 4 fundamental arithmetic operations?**

*division*As we try to define it we'll use this sample equation:

X ÷ Y = Z r

These are the component parts of a division problem:

X is the

**dividend -**the

*amount*being divided up

Y is the

**divisor -**the

*unit*doing the dividing

Z is the

**quotient -**the

*result*of having done this division

r is the

**remainder**if the problem does not come out evenly

Y and Z are

**factors**of X if the division problem comes out evenly (without a remainder)

X is

**evenly divisible**if the division problem comes out without a remainder

Here are some sample problems, before we go on with more definitions:

9 ÷ 3 = 3 or nine divided by three equals three; three and three are factors of nine

10 ÷ 3 = 3 r1 or ten divided by three equals three with a remainder of one

10 ÷ 2 = 5 or ten divided by two equals five; two and five are factors of ten

We can call division

**so Z is the number of times can I remove Y from X before I get to zero.**

*repeated subtraction,*- 10 - 2 = 8
- 8 - 2 = 6
- 6 - 2 = 4
- 4 - 2 = 2
- 2 - 2 = 0 ZERO

We can say division is determining

*so Z is the number of times that we can put Y into X before X is*

**how many times one quantity goes into another number,***"*

*full*".

In this case 5 people can share 10 evenly if each share is 2 pieces.

Here's a division problem that might amuse you - artwork was adapted from the Arif & Ali blog.

- 0 + 2 = 2
- 2 + 2 = 4
- 4 + 2 = 6
- 6 + 2 = 8
- 8 + 2 = 10 FULL

*The filling was repeated 5 times, so Z =5.**We can call division***where Z is the number of people who can share X evenly. Each share contains Y pieces.***sharing*In this case 5 people can share 10 evenly if each share is 2 pieces.

Here's a division problem that might amuse you - artwork was adapted from the Arif & Ali blog.

There are lots of other ways to describe division, but this is enough for now.