Below is a walkthrough for the Burning Hunger side quest in Tiny Tina’s Wonderlands. To obtain it, interact with the help sign in Tangledrift.
Travel to the forge in Tangledrift
Follow the objective to the forge then interact with the dragon behind the grate.
Turn off machine
Head through the door to the left of the dragon. Be mindful of the gaps in the floor and fire as you make your way to a switch. Flip it.
Find release mechanism
Head up the stairs to the right of the dragon.
Find food
Locate the sheep on the northern part of the island. Once you find it, enemies will spawn. Clear them out then return to the sheep. Melee it to cause it to move towards the pen. You’ll have to defeat more enemies that spawn then again melee the sheep so it moves to the pen. With the sheep in the pen, shut the gate.
Feed the Elder Wyvern
Flip the lever on the building next to the sheep to feed the dragon.
Release the Elder Wyvern
With the dragon feed, free the dragon by pulling the lever west of the sheep pen.
Talk to the Elder Wyvern
Speak with the dragon then retrieve its scale from the ground. Afterwards, the quest will complete.