Meanings
From the idea of walking while dragging one's feet along the ground, either from lack of enthusiasm or to intentionally slow down movement. Compare dig in one's heels (“firmly oppose”).
How to pronounce "drag one's feet":
AU
To procrastinate, put off; to dawdle, avoid, or make progress slowly and reluctantly.
Example: "I have been dragging my feet about filing my taxes."
To intentionally stall, to delay, to obstruct.