And that's what division is.

So, division you just have 1 division here

The group operation on the quotient is shown at the right.

So this division problem ended up being equal to 0.5 times 10 to the 17th.

And that remainder two was what we got all the way down there.

Let's explore a few more examples of division.

Because the conjugate is the tool we're going to use to divide this.

So, division might seem a little complicated when I write it all in variables.

This division operation give us a floating point result.

Let's do some exponent examples that involve division.

You can keep adding as many zeroes as you need until you're done dividing.

Well, division is the same thing and we rewrite this as six plus three i over seven minus five i.

Division

21mn is clearly divisble by 7mn and it's clearly divisible by 3mn, so it's got the mn there it's divisible by 3 it's divisible by 7.

3 is divisible by 3, 24 is divisible by 3 and 48 is divisible by 3.

Quotient

Modulus

And I just wanted to use this example because I want to show you that division is something that you've been using all along.

12 is divisible by 3, so 3 will go into it.

So it's divisible by three natural numbers

They're both divisible by 5, they're both divisible by r.

This is only divisible by r, that's only divisible by s, that's divisible by neither.

If we're divisible by n 4 we are divisible by n

57, It's not divisible by 2, but it is divisible by 3.

Multiplication

Mod

Modulo

Divide.

long division.

Well, we could just try to test and divide it from the get go, but hopefully, you already know the divisibility rule.

20 is definitely divisible by 4, so 120 will be divisible by 4.

Well immediately, both factors are divisible by 3 and both terms are divisible by y.

We're divisible by 7m 2n, definitely divisible by 3mn 4.

5 is not divisible by 2, so 2 will not go into 75.

You just add up the digits and if that is divisible by 3, then the number's divisible by 3.

200 is divisible by 8, and then 80 is divisible by 8 as well.

Initial cost Estimated Savings

I'm going to be dividing by sixty.

And you divide by n.

This is going to be I don't want to make any careless mistakes, so let me just divide it again.

So how many times?

So as long as we're divisible by m 2 then we're also going to be divisible by m

It has to be divisible by n, and it also has to be divisible by n 4.

7 is not divisible by 3, so 25 will not be divisible by 3.

When you look at them, well these first two are divisible by 4, these last 2 are divisible by 3, but not all of them are divisible any one number.