Just because you keep hoping it will happen doesn't mean it will. There is no reason for them to sell the Xbox division if its profitable, why would it all of a sudden stop being profitable. 

are you joking?

apparently Halo is more famous then Xbox brand

I'm not joking. Are you?

It's just the way you phrased your statement. Just because something is profitable doesn't mean you wouldn't get rid of it. 

Example: Thousands of products in history that have been successful and then sold to someone else for a lump sum because owner didn't value the future of the product.

They spent the last 13-14 years trying their best to tie anything and everything to the XBOX. Now they are making a clear break from that and it is a good thing? Yes MS is huge company which is exactly why they dont live and die by one product line. The whole concept with the XB1 was to be the multimedia center that everything revolved around why would they distance their other products from it?

I would understand that if Microsoft didn't care/have faith in the future of Xbox, but why wouldn't they? It's still profitable and still has a strong future.

Even if Xbox is still profitable and Microsoft one day randomly said they don't care about it anymore, you could say that about any company though. Sony could randomly say they don't care about Playstation and get rid of it one day as well, same with Nintendo and basically any company.

Playstation is like Sony's second best division

xbox doesn't even earn MS a tenth of what they make in a quarter, in a year.
There's a difference in scope.

It's actually really complicated. Has to do a lot with stock price and margin etc etc. I'd be writing for a page, but MS would be better off without the xbox. The brand can stay, unless someone bids excessively for it, in which case windows is always a good backup....but the box..? meh.

As far as anyone can guess, Xbox isn't profitable - the division it's in is, but that is something else.

That isn't the main problem though. The real issue is that to management and stockholders, even if Xbox was able to turn a small profit, the resources spent getting there could be used in other places for much higher gains - especially now that "the living room" no longer has the importance it seemed to have when MS started the Xbox project.

I agree... Sort of.

All consoles will soon be gone in the traditional sense . I guess another 2 generations. I don't understand targeting of the xbox, though.