"Gavelkind" shouldn't be used anywhere outside of England. Also, Charles V didn't divide his realm after his death, or rather abdication, Ferdinand had been ruling Austria (and Bohemia and Hungary) for decades, he just gave the title of HRE (which had no territorial bound) to him.
Anyways, the Habsburgs divided Austria a lot, in the Treaty of Neuburg it was divided between the Austrian Albertine line and the Styrian Leopoldine line, later the Leopoldines divided once again, creating the Tyrolese line, they were unified by the late 1400s. The division happened again after Ferdinand I's death, once again the same branches: Austrian (also Bohemian and Hungarian), Styrian and Tyrolese. The division ended in 1622 (I think) with the death of Archduke Albert and the ascention of HRE Ferdinand II.
It was in fact the concept of Salic Patrimony, German principalities divided their possessions a lot, see the multiple Welf cadets, the already mentioned Wettins, the Wittelbachs divided Bavaria, etc.