Draco immediately dissaparated to his family's manor. After the fall of Voldemort, Lucius had disconnected it from the Minitry's floo system and somehow had it hardwired it the island. Draco never asked questions on how his father managed it or who needed to be paid off, but what he did know was that it was one of two ways of getting there. The only other way was to side apparate with Lucius.