When do we have an oblique, slant asymptote for a rational function

The video tutorial reviews vertical and horizontal asymptotes, explaining conditions based on the degrees of polynomials. It introduces slant (or oblique) asymptotes, detailing when they occur and how to calculate them using polynomial division, specifically long division, without considering remainders.

How do you find the slant asymptote of a function?

What is the significance of the remainder when calculating the slant asymptote?