Dividing a decimal by a whole number 小数除以整数

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.