Answer :

1 divided by (7/8) is the same as 1 times (8/7). Dividing is the same as multiplying by the reciprocal.

1 * (8/7) = 8/7
AL2006

I'm guessing that you've probably learned how to divide fractions by now.  The
problem you're having with this one is that one of the numbers is not a fraction. 
That's no big deal.  Go ahead and MAKE it one.

 ' 1 '  is exactly the same number as  ' 1 / 1 '.

Now you have one fraction divided by another fraction. I'm pretty sure you
know how to do that:  Flip the second fraction over, and then multiply them.

  ( 1 / 1 ) divided by ( 7 / 8 )  =  ( 1 / 1 ) times ( 8 / 7)    Answer:  8 / 7 .


Hey !  Look what else you just learned from this problem ! 

          ( 1 ) divided by (any fraction)  =  (flip the fraction over)

You should memorize that.  You'll use it for years and years, millions
of times. 

It's used so often, there's a special name for it. 

             1/(any number)    is called the "reciprocal" of the number. 

[  ree - SIP - ra - kl ]

If the number is a fraction, just flip the fraction over to get its reciprocal.

Learning that was much more important than getting the answer to

   1  divided by  7/8 .