Just divide 78 with 11, 7.090909090909091.
The remainder is always less than the divisor because if the remainder was more than the divisor then you would have a totally different answer. If the remainder was more than the divisor than you know your answers wrong.
12x+2=17y
12x+2=17(0)
12x+2=0
-2 -2
——
12x+0= -2
— —
12 12
x= -2/12
X= -1/6