Question

How do you set apart a quotation within a quotation?

Answer 1

There are two ways to do this.

The first way is the American English way. You would use double quotation marks (“…”) for a quotation and single quotation marks (´…´) for the quotation inside the first quotation.

The second way is the British English way. It works in the opposite way than the American English way: single quotation marks for a quotation and double quotation marks for the quotation inside the first quotation.

Answer 2

This sounds crazy but you add an extra quotation mark inside the normal quotations.  So here's an example:  Sue said to me, "The quote, 'May the force be with you', is my favorite quote from the movie Star Wars." 
Hope this helps!