Finding oblique asymptotes help

hi im new here =], and i was just wondering how do yo find oblique asymptotes for functions f(x) = P(x)/Q(x). i know to find horizontal asymptotes you take the limit x--> infinity, but how do you find the asymptote if the degree of the numerator is higher than the denominator. By the way, no long division, as we have not done it in class yet.

An example question would be y = x/4 + 1/x where the oblique asymptote is y=x/4

EDIT: oops sorry i meant the answer to the question is y=x/4 (the oblique asymptote) and we havent done long division, its not in our 2 unit course (if you know what that means) and its in next year's course.