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]
(..) flowing down the valley with unstoppable force. Alpine glaciers may seem immense, but they're dwarfed by those in the great ranges that divide the Indian subcontinent from Tibet. This is the boulder strewn snout of the giant Baltoro glacier in the Karakoram mountains of Pakistan. (..)2006 TvShow: Planet Earth Title: Mountains Season: 1 Episode 2