How was France divided in World War II?

Answer 1

France didn't split into two governments in WW2.

The Nothern and coastal regions were occupied by the Nazis, and controlled by the German government.

The part of France that was not occupied by the Germans (but did collaborate with them), called Vichy France (Vichy being the seat of the government), was governed by Petain.

Answer 2

Into Occupied France; basically the northern half - And unoccupied France, governed from Vichy. Later in the war, the whole of France became occupied.