We are going to divide 5.005
by, let's divide it by, 7, and see what we get.
So we can rewrite this as, 5.005, divided by 7
And the key here is to keep track of the decimal.
But other than that, you are really treating it like a traditional long division problem.
So you want to put the decimal right to the to the right of the once place.
So it's right over there. I just put the decimal right above the decimal.
And now we will treat it just like a traditional long division problem.
So how many times does 7 go into 5?
Well, it goes into 5 zero times.
And we could write 0 times 7 is zero.
Actually I shouldn't have done that. Just to show that it works to, kind of, we do the process all the way through.
0 times 7 is 0.
You subtract. You get 5.
So you get this five right over here.
So you get 5.
And then we can bring down another 0.
We bring down this 0 right over here.
So now we ask ourselves how many times does 7 go into 50?
Well, 7 times 7 is 49, so it's going to go 7 times.
7 times 7 (is) 49. Subtract. You get 1.
And now we can bring down this 0. So let's do that.
We bring down that 0.
7 goes into 10 1 time. i times 7 is 7. Subtract. You get 3.
And now finally, we can bring down this 5.
We can bring down the 5.
And we ask ourselves how many times does 7 go into 35.
Well, 5 times 7 is 35, so it goes 5 times.
5 times 7 is 35.
Subtract. And we are done. We have divided it completely.
And so 5.005 divided by 7 is equal to 0.715.