How can you divide an algebraic expression by another algebraic expression?

I would begin the session with checking a basic understanding of the methods of long division, as these will not have been taught very recently. Many students will have been using short division, as it is quicker and once this is taught, many students forget the process of long division all together.

Once this has been refreshed, I would move onto explanations of how the process can be applied to algebraic expressions, using examples of simple questions to demonstrate this. I would encourage the student to try some questions in the session with me, and then I would end the session with an exam style question from a textbook or past paper.