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]
(..) I want everybody up at the crack of dawn. Yes sir. Understood cap. Carrying glass would be hard. We need to get ahead as far as possible. We'll divide into two groups. Fitzgerald, Jones, fryman. You take the east side of the river. Anderson you scout up front. - That claw don't mourn him. (..)2015 The Revenant