I think some general remarks are important:
1 - Quality systems existed before standards - in fact, they were developments from the field of quality engineering.
2 - Standards usually reflect good practices from a field (again, in this case, the decades of experience from the quality engineering field).
3 - Standards are not created to be teaching material - they details requirements from good practices from the field.
4 - The "correct" way to understand standards is to understand the field/ read the literature from the field. After that, anything a standard requires should be somewhat obvious (if not, you probably do not understand the field enough - although sometimes references in standards can be cryptic too
).
5 - One way to try to convey to "normal" people the requirements from a standard is to understand why the requerements exist and explain it to then in examples (if from "real" life, even better).
A generic example: why standards require that purchasing information clearly describes the product to be purchased? Because, if not clearly described, sometime you will not get what you want.
"Real" life example: if you go to the candy store and asks for candy, will you get what you want? You probably want some specific candy, but asking only for candy, there?s a probability that you won?t get what you want. So you need to clearly describe what you want.