i don't quite understand your question but from what i understand. your objective is basically to reduce and turn an improper fraction to a proper fraction. how you got about that is:
60/7 = ?
how many times can 7 go into 60? well, it goes 8 times because [7*8 = 56]
so, 8 is the whole number part, then we need to find the fractional remainder.
60-56 = 4.
and, the problem itself is over 7, so keep the denominator as 7.
so your answer is: 8 and 4/7.
a method to check your answer:
in calculator type in 60/7 which should give you the answer as:
8.5714285714285714285714285714286
after that, take the remainder part and type in: 4/7
the answer you should get is:
0.57142857142857142857142857142857
now add 8 to it.
thus, your answer is:
8.5714285714285714285714285714286
so in terms of decimals we are right.