Can someone give me an example of this from the FAQ page?

[eternal1234]

Can someone give me an example of this?

Since there is no conceivable extension of any lower tier that can yield equality to a 1-A structure, neither can there be any subdivision (Even an infinite subdivision) of 1-A that reduces down into such tiers. Unless, of course, this division is somehow non-quantitative in nature (i.e. The results of the division are not actually numerical "chunks" of the character's power); however, this should be made reasonably clear by statements or through background context.

 

[Digital_Franz]

Since 1-A is the default Tier of qualitative superiority, it should be noted that no addition of Tiers below can reach 1-A (more explanations). Reciprocally, none of these lower Tiers can result from the division of 1-A because 1-A cannot be reached by addition. The only way for a 1-A character to become non-1-A is through what is called "onthological reduction" which is a non-quantitative reduction (not done through division).
The result of the onthological reduction isn't a fraction of the character's power but something completely new and inferior. It is said that the ontological reduction must be made reasonably clear by statements or a background context where for example a character is able to bring characters out and into a reality that is his dream.

 

[Berga14]

Can someone give me an example of this?

Stupid example:

Box A: contains 1 apple, box A is non 1A
Box B: contains 1 glass of beer, box B is 1A.

If you keep adding apples to box A will you get a glass of beer? Nope.

If you divide a glass of beer will you get an apple? Nope.

The difference between an apple and a glass of beer isn't about quantity, the 2 of them are completely different things.

The non-quantitative division from the FAQ will be something like:
Taking out the glass of beer from box B and add an apple.
You can do the same with box A to reach 1A by putting in a glass of beer. But box A can't add the glass of beer alone.
A non-1A to reach 1A needs help from another 1A something.

 

[Wikisource]

A simple example is you (a real being) and a fictional character in a work of fiction (a fictional being).

Obviously, a fictional character cannot become "real" simply by increasing his own existence by quantitative means. In this wiki's interpretation, it is quantitative superior (5-D, 6-D... Infinite D.... )

Conversely, you cannot become a fictional character by decreasing your existence (the opposite of the above). In general, a change in quantity does not create a change in quality.