You said something about "right-clicking" to bring up the menu for {subdividing}.
Two things:
I've been using "right clicking" to select (blame Jonathan Williamson for that one lol), so I tried left-clicking, {ALT}, {CTRL}, or {SHIFT} clicking - still no menu. So for sh**s and giggles I tries "W" - voila the fated menu.
I am using 4.4.3 if that makes difference.
Yes, W brings up the 'specials' Menu for us Right Click Selecters.
That has been the shortcut for a very long time (long before 2.80), but (fun fact) I just tested it, and in for instance 2.49 (that is the oldest Blender Version I have on my PC) W brings up a Boolean Menu.
hee hee hee. Almost like I sparked an earworm. Y'all have a good weekend.