Something divergent is moving away from what is expected. Two divergent paths are moving in opposite directions — away from each other.
Things that are divergent are diverging — moving away from a path or a standard. A teacher who comes to work in a clown outfit is being divergent; a clown who comes to work in a business suit is also being divergent. A stream is divergent if it is moving in the opposite direction of a river. A politician who is divergent might leave his political party. Divergent people and things are changing course — moving off the beaten path.