So the "garage" that I park in isn't very wide; one day while backing out I forgot that my passenger side mirror was touching the wall. Very quickly the plastic framing it just broke, leaving my mirror dangling by the power chord that ran the motor inside the mirror.
I ordered a new one for $54.02 from AutoPartsAvenue on ebay.
Step 1: Removing the broken Mirror.
First open the door and removed the plastic cover that's directly across from the mirror inside the car. It should come off pretty easy. Then unplug the module and unscrew the nuts. You, or at least I was able to, can take all 3 of the nuts off without the mirror falling to the ground; however in my situation that wouldn't have mattered-it's broken anyway. After you've got your nuts in a safe place then you can get the mirror out of the way.