Summarize:

Many wine bottles have a small tab you can pull to remove this.   If you leave the foil or plastic top on the bottle, then the cork won't be able to slide out. It's not necessary to peel all of it off. Just make sure the top of the cork is fully exposed and that the wine bottle covering isn't impeding it. There is no need to pad the bottle if the shoe is loose around the bottle.   Remember, you want to use shoes with a hard sole and sturdy sides. Don't use tennis or athletic shoes. Men's dress shoes are recommended. This requires a good deal of force.   Hold the neck of the wine bottle in your left hand. Grasp it firmly. Don't put your thumb, fingers, or palms over the cork. Hold the toe end of the shoe in your right hand. Bang the heel end of the shoe against the wall, holding the wine bottle in firmly. Bang the shoe against the wall with a lot of force. It should do so more with each bang.  Once the cork is out about halfway, stop banging. Remove the wine bottle from the shoe. Wiggle the cork the rest of the way out using your hands.
Remove the plastic sheathing or foil around the top of the wine bottle. Place the wine bottle in the shoe. Bang the bottle and sole of the shoe against a brick or stone wall. Watch to see if the cork begins to slide out.