The quotient is simply the result of a division. Since we are subtracting a a fraction from another number, that number should also be fraction form and have a common denominator with the fraction we want to subtract from it.
8
Or "8 divided by 7" is ---
7
In order to turn 9 into a fraction with the denominator 7, we just multiply 9 x 7 = 63 and form our fraction:
63
----
7
63 8 55
Now we subtract: --- - --- = ----
7 7 7
Finally, we need to turn the improper fraction (numerator > denominator) into a mixed number:
55 49 6 6
--- = --- + --- = 7 ---
7 7 7 7