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]
(..) swore that we would celebrate our victories in a new hall. Mighty and beautifull. Why not? And in this hall we shall divide the spoils of our conquest, the gold and the treasure. And this shall be a place of merriment, joy and fornication. From now until the end of time. I name this hall... HERAT! (..)2007 Beowulf