You would keep the first fraction the same , turn the division sign into a multiplication sign , and flip the 2nd fraction upside down.
10/14 ÷ 7/16
10/14 x 16/7= 80/49 = 1 31/49
I'd use synthetic div. here, with 2 as my divisor:
________________
2 / 1 -11 18
2 -18
----------------------------
1 -9 0
Note that the coefficients of the missing factor are given here and are 1 and -9. Thus, (x-9) is the missing factor.