She will also tell you that the staff can be found in a ruined city called Labyrinthian somewhere in Skyrim.
Take the path on the right that leads to the south. Stick on this small road, and you’ll be able to come across the entrance to the Labyrinthian, an ancient city in ruins.
Range weapons like bow and arrows, and magic spells are very effective against Morokei. Close combat attacks using swords or axes can damage the priest too but will not be as effective. Also, avoid the shock spells that he’ll cast at you as these will deal severe damage on you.
You can then choose to go back to Winterhold and speak to Mirabelle to complete the quest, or go someplace else and just finish it later.