The author 'divides' literature into three categories. [=the author says that there are three categories of literature]
The teacher 'divided' the class (up) into four groups. = The teacher 'divided' (up) the class 'into' four groups.
Two 'divides evenly into' eight. [=eight can be divided into two an exact number of times with nothing left over]
(..) slowly freezing to death. I need your advice. There's something I want to do, something I... have to do. But it'll divide the Night's Watch. Bitterly. Half the men will hate me the moment I give the order. Half the men hate you (..)2015 TvShow: Game of Thrones Title: Kill the Boy Season: 5 Episode 5