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Write 7/8 ths as a decimal.

2
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The main realisation here is 7 / 8

3
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is the same thing as 7 ÷ 8.

4
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These are all the same way or different ways of writing the same thing.

5
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So lets actually divide 8 into 7. I will do it down here.

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I am going to divide 8 into 7. And I am going

7
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to add a decimal point here just because we know that this value is going to be less than one.

8
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7 / 8 is less than 1.

9
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We are going to have some digits beyond or to the right of the decimal point.

10
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And let me put the decimal point right up here, right above the decimal point in 7.

11
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And then we start dividing.

12
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And now this really turns into a long division problem

13
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and we just have to make sure that we keep track of the decimal sign.

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So 8 does not go into 7 at all, but it does go into 70.

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So 8 goes into 70 8 times.

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8X8 =64. And then you subtract. 70 - 64 = 6

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And then bring down another zero because we still have a remainder.

18
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We want to get to a point that we have no remainders,

19
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assuming that this thing doesn't repeat forever and then there's other ways we can deal with that.

20
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8 goes into 60 7 times

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7 X 8 = 56. And then we subtract again.

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60-56 = 4, now we can bring down another zero right over here.

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8 goes into 40 exactly 5 times. 5 X 8 = 40

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We have nothing left over.

25
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And so we are done. 7 ÷ 8 or 7/8 = .875

26
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But I'll put a leading zero here just so it makes it clear that this is where the decimal is.

27
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0.875. And we are done.