Some areas also have meat poles set up for this purpose. If they are there, use them. These are built with the sole purpose of hanging game far enough out of reach for bears, and are very sturdy. When returning to camp, make noise. You do not want to surprise a bear.
All bear have a critical space and react within that space.
If you surprise a bear within that space there is no telling what will happen. If possible, enter camp from upwind, so he can smell your presence. Upon returning to camp, go through your pack and rid of any leftover food that may be in there If you have to leave your kill overnight and return for it the next day, approach the kill site from upwind and make lots of noise. Again, you do not want to surprise a bear. While dealing with the game, keep an open eye and listen carefully as well.