You can also put it on any weapon display if you own a home and don't feel like doing quest yet.
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He is in MerryFair Farm directly west from riften stables, However if he is already dead (like it was for me)
Then you can just place the bow on his body and take whatever you want as a reward from his corpse - I only took half his gold, im not greedy you know :)
gaming.stackexchange.com/users/15154/Haydn
What you picked up was a miscellaneous objective, Bow to the Master when you were in the Ratway Warrens.
To complete it, return the bow to Dravin.
You can find him at the Merryfair Farm.
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You can give it back to Dravin, a guy in a farm near the Goldenglow Estate (an island where you have to go for a quest for the Guild of Thieves)
Actually I'm not sure if the guy is called Dravin.
It is an elf working in a farm in front of the island where Goldenglow is.
gaming.stackexchange.com/users/11525/Mario F
This bow is part of the quest Bow to the Master .
Take the bow to Dravin Llanith at Merryfair Farm to trade it for some gems.
If Draven's dead, you're stuck with the bow unless you're playing on the PC and can remove it via the console command: player.removeitem 0006b9ad 1 Bug - PC-
Completing the quest removes the bow but not it's weight.
PC users can do this anyway after completing the quest (successfully or not) to solve the problem.
gaming.stackexchange.com/users/13845/agent86
So apparently I've found a quest item  Dravin's Bow  somewhere in my travels. Anyone found this quest, since I can't drop the item, I'd like to complete it quick-fastly, as I subscribe to the 'pick up everything that's not nailed down' school of thought.
What quest is the object Dravin's Bow from?
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<the-elder-scrolls-5-skyrim>
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This bow is part of the quest Bow to the Master? You can take it to Dravin at Merryfair Farm. Apparently it is part of the quest Bow to the Master.
The quest name is Bow to the Master and the bow must be returned to Dravin.