Turn off the light switch that supplies power to the bulb. If the bulb was on, wait a few minutes for it to cool down, as it will be very hot.
Remove the recessed can from the ceiling, if the MR16 bulb is in a recessed light. Grab the edge of the recessed can, and pull down with a slight twisting motion. The lighting fixture then hangs by a wire from the ceiling. Grab the ring that attaches the hanging light socket to the bulb, and pull the socket straight out to release the MR16 assembly.
Place the fixture on a counter, with the two-pin base of the MR16 bulb facing up. Grab the base of the MR16 bulb, and pull it straight out of the lighting assembly.