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]
(..) He made it personal. That's not the point. That is the point. That's Loki's point. He hit us all right where we live. Why? To tear us apart. Yeah, divide and conquer is great but he knows he has to take us out to win, right? That's what he wants. He wants to beat us, he wants to be seen doing it. (..)2012 The Avengers