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We are going to divide 5.005

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by, let's divide it by, 7, and see what we get.

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So we can rewrite this as, 5.005, divided by 7

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And the key here is to keep track of the decimal.

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But other than that, you are really treating it like a traditional long division problem.

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So you want to put the decimal right to the to the right of the once place.

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So it's right over there. I just put the decimal right above the decimal.

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And now we will treat it just like a traditional long division problem.

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So how many times does 7 go into 5?

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Well, it goes into 5 zero times.

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And we could write 0 times 7 is zero.

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Actually I shouldn't have done that. Just to show that it works to, kind of, we do the process all the way through.

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0 times 7 is 0.

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You subtract. You get 5.

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So you get this five right over here.

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So you get 5.

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And then we can bring down another 0.

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We bring down this 0 right over here.

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So now we ask ourselves how many times does 7 go into 50?

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Well, 7 times 7 is 49, so it's going to go 7 times.

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7 times 7 (is) 49. Subtract. You get 1.

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And now we can bring down this 0. So let's do that.

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We bring down that 0.

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7 goes into 10 1 time. i times 7 is 7. Subtract. You get 3.

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And now finally, we can bring down this 5.

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We can bring down the 5.

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And we ask ourselves how many times does 7 go into 35.

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Well, 5 times 7 is 35, so it goes 5 times.

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5 times 7 is 35.

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Subtract. And we are done. We have divided it completely.

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And so 5.005 divided by 7 is equal to 0.715.