Interesting... I just noticed that tables don't break across pages in ADE, like they do in iBooks -- although I suppose they would if they "had" to, if it was an especially long table or something (note: I just tried it, made a reeeeeeeeeeeeally long table, and indeed it does break across pages no problem).
I thought maybe it might be because of the addition of that <div> wrapping around the table -- hey, what the heck do I know?
-- but in trying that out (getting rid of the div) that's not the case.
This might be a stupid question, but is there perchance some "secret code" (secret to me, anyway) that allows the table to break across pages? As it is, I've got several tables that are relatively big -- like, maybe half a page in size or something -- and I can see that there will be times where you'd end up with the regular text paragraphs coming just before that table having a big blank space at the bottom, and then the table on the next page, just to keep that table "all together." I'd rather that the table broke across pages, and didn't inadvertently insert all that white space (which I think would potentially be more confusing to readers -- leaving them thinking that there was an intentional "section break" within the chapter -- than having the table split across pages).