If you mean (x+4)/ (x^2 - 8x - 36), then the answer is 0 with the remainder of x+4
However, if you mean (x^2 - 8x - 36)/(x-4) [in words: square of x minus 8x minus 36 divided by the difference of x and 4], then the answer is (x-4) with the remainder of -52.