Remove the wheels. The front wheel is removed by loosening the skewer that runs through the wheel's axle. The rear wheel is removed similarly, but first shift your chain (if your bike is geared) into the smallest rear cog. This will allow for easier removal of the rear wheel. Pack the wheels into one side of the bike travel case.
Unscrew the pedals. Depending on the design of your pedals, these will come loose either by using a hex key or a wrench. Remember that the left, non-drive side pedal is reverse threaded. Turn this pedal clockwise in order to loosen. Pack the pedals securely in your bike travel case.
Remove the seatpost, the narrow shaft upon which your seat rests. There will be a binder bolt or a quick-release binder bolt at the base of the seatpost securing it in place. Open the quick-release or loosen the binder bolt with a hex wrench. Pull the seatpost free, and pack it into the case.
Remove the handlebars. The handlebars are attached to a stem by as few as two or as many as four hex head bolts. These bolts will need to be loosened to remove the handlebars. Turn all bolts counterclockwise to loosen. Lay the handlebars gently over the bike frame.
Lay the now-naked bike frame into one side of the bike travel case. This will be the side opposite the wheels. Close the case.