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]
(..) exactly as I say. On my signal, ride round behind our position and flank them. We must not divide our forces. Do it, and let the English see you do it. They'll think we run away. Take out their archers. (..)1995 Braveheart
(..) 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
(..) Je t'adore! Je t'adore! Shoot the window. I don't care! This is KeIIaway. I need back-up. Cigarette? Now, Iike NapoIeon... I wiII divide and conquer. PoIice! Merde. Freeze. Put your hands up. But you toId me to freeze. (..)1994 The Mask