Is "Don't you know? " the same as "Do not you know?"?
Well, we know don't is the same as do not, right?
Therefore, can I say "Do not you know?", instead of "Don't you know?"?
Well, I know that chances are I can't do that, but technically that should be correct, no?
You should also be able to say 'Are I not?' instead of the typical 'Aren't I?' Presumably these colloquialisms result from the fact that neither 'Do you not know?' nor 'Am I not?' have a contraction that is at once easily pronounceable and logical.
Curiously, it is the same as
Do you not know?
The words are transposed when the contraction comes in to make:
Don't you know?
Sometimes, it is corrupted in the right order to:
D'ya not know?
D'ya being pretty much single syllable when uttered.
I prefer the Scots version:
Dinnae ken?