- Travel to the specified dungeon.
- Search the dungeon for the target and kill them.
- Return to the questgiver to complete the quest.
To start the quest, speak to any Dark Brotherhood questgiver and they will inform the Hero that the Mages Guild has contacted them to kill a renegade member. Accept the quest, and the questgiver will point them towards a specific dungeon.
Upon travelling to the dungeon, enter it and search for the renegade mage. Upon locating the target, kill them and return to the questgiver to complete the quest.
If the Hero doesn't complete the quest within specified time limit, they will lose reputation with the guild.