I cover both the case of a monomial dividing into a polynomial, and the case the monomial is not a factor of the polynomial. Give it a view and tell me how you like it.
Here is a sample of my teaching at West Ranch High in Stevenson Ranch, CA. This is a class of about 30 students (9th-11th graders) in my Algebra 2 class and we are reviewing homework involving logarithmic and exponential expressions.