That would be "Day-long quest" or "whole day quest" or "full day quest", not "daily quest", which denotes an event happening each day but says nothing about its duration (like a newspaper), but I'm not a native English speaker, so I could be wrong.When I watch "daily news" on the TV I don't expect them to last one day long.
Anyway, the words and their meaning don't matter. We don't want quests to last that long, specially when the duration is increased artificially by numbers, e.g. having to hunt 40 mobs instead of 10. Everyone hates repetitive tasks.
If you want a quest to last longer put more content, not just "well, the base task is to hunt a wolf, now do it 348634 times more".
What I would like to see is all dailies to take only 1 or 2 hours each day (the four together).