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]
(..) No. They're asking for you, sir. Thank you. - You don't have to protect me. - I told them the truth. They're trying to divide us. They have divided us. They're splitting us up. What are you talking about? I meet with OPR in two days for reassignment. They put us together! (..)1998 The X Files