Note: This challenge has nothing to do with actual assembly language.
As the head of Code-Golf Factory Inc., you must create an assembly line to generate a specific piece of code. Today, the foreman has asked you to produce quines.
In this challenge, the goal is to write a quine such that a proper subsection of it is also a quine.
This is code-golf, so the fewest bytes (of the main program) win. Standard loopholes are forbidden, and both the main program and the subsection must be true quines.
The subsection must be at least 2 characters shorter than the main program, meaning that the minimum score is 3 bytes.
You only need 1 subsection of your choice to work.