lol, aren't all those divisions making money currently?
Sorry, not gunna happen

Xbox has been a cash cow.
XBOX is interesting in that it does make money
Sorry guys. That the Xbox earns MS money is incorrect. MS and Sony both sell their consoles below cost (initially), so they lose money on every sale. Some of that money is earned back over time, primarily with (a) subscriptions and (b) the cut both companies take on game sales. Unfortunately, that hasn't been enough. Profits are really only earned at the tail end of each console's lifecycle, once the hardware becomes considerably cheaper to manufacture. By that time however, the next generation usually isn't too far off, so the money loosing cycle starts anew.
That is why the previous generation lasted as long as it did... both companies required almost a decade to earn back at least some of the money they spent when the products launched. During the last few years, the Xbox 360 has been profitable, but over its entire lifetime, the Xbox 360 has lost MS billions of dollars (
source). With the XB1 the cycle has now started anew, and dispite MS' goal to break even, that doesn't appear to be happening (take that with a grain of salt... reports on the web are contradictory).
Nobody outside MS has the exact numbers, but most analysts estimate that XB1, WP and Skype are all money loosing endeavors, together incurring losses between 2.0 and 2.5 billion annually (
one of many possible sources). MS covers this up by factoring in revenue from Android licensing, which is how they are able to claim that all divisions are profitable.
Those loss incurring endeavours is what investors are unhappy about, some more so than others. Investors calling to spin off Xbox is almost a tradition at this point... it's been happening for years.
This was the last thread on the same issue.
Like everyone else here, I think selling off Xbox would be a tragic mistake.