Can people even do long division these days?
Yep. And calc. Taking roots I can't remember how to do by hand, but that and working a slip stick is probably about all I can't do. Give me ten minutes to remember how and I can probably even work out the trig values long hand to. :P
I had calc and trig and stats profs in college who yelled at you if you used a calculator, or pen.
Heck, I've even got a CRC Math Tables book, and I've used most chapters in it.