Quests: Are We Done Yet?

When you gain a quest item or "kill" the tally
briefly shows up on your screen.

Most quests have a number of tasks you must accomplish to finish them.  If you have multiple quests, or multiple targets in one quests, you can check on the status of all of them in many ways, and you can find the right targets for what remains without having to kill blindly until the quest completes.

Every time you fulfill a task, a big message will appear on the screen with your count status for that task.

Your quest log tells you the status of every quest.

The count status also usually shows up on the quest description in your quest log so you can check it there.  If you are not sure, open the quest in your quest log, and it will tell you your status. It also shows up on the right of your screen just below the minimap if you have your Objectives turned on (that's the default).  It tells you about your status there as well, and changes as you progress. Once it is complete, the quest changes from a numbered "to do" item to a "?" completion marker in your objective list.

Your quest objectives are listed on the right side.  You can
set the order and kind of quests that display..

Sometimes a quest asks you to do multiple tasks.  You may have completed some but not all.  You can just keep "farming" everything until the quest completes.  If you want to focus and get it done, you can click on a target to simply select it. That brings up a small description window in your bottom right corner.  It will not only tell you what that target it, but if it qualifies for any quest you have and what the tally currently is. Information EVERYWHERE if you know how to find it.