If a plunger does not work, try a toilet auger (snake). You can get one at most hardware stores for $20 to $50. The trick of a auger is to get the cable right through the throat of the toilet. Put a little tension on the cable and start turning the auger, extending the cable down into the drain pipe. As you push down you will feel the auger drop. Once the auger approaches the clog, give it a little extra tension to punch a hole in the clog, creating a line to the sewer.
A plunger may also be used in conjunction with an auger in order to create enough suction to blast out any material that may still be clinging to the hole that was punched out by the auger.
Note: The toilet and the bathtub normally share a drainage pipe, so if the clog is too impacted for the auger to punch a hole, the whole clog could be shoved so deep that the bathtub becomes clogged as well. Once the clog in the toilet is removed, be sure to check your bathtub drainage as well.
If the clog can’t be eradicated with a plunger or an auger, the toilet must be removed to get better access to the drain. To remove the toilet, turn off and disconnect the water supply. Use a shop-vac to remove the standing water out of the toilet. Unscrew the two bolts at the toilet’s base, lift the toilet and slide it forward.
At this point it is best to call a professional plumber. He’ll likely use an industrial auger that has over 100 feet of steel cable. The long-reaching auger can go far enough to hit the main sewage line to clear out the clog.
Lift the toilet from the rear so any water still remaining will flow towards the front of the bowl and not spill out onto the floor.
After the clog has been cleared, be sure to run water from the toilet’s supply line into the drain for about two minutes to ensure the clog is gone. Reconnect the toilet by screwing the bolts back in and reattaching the water supply line. Be sure to flush the toilet a few times after replacing it to make sure the water is draining properly.
Any time you remove a toilet always replace the rubber ring at the base of the drain. The ring is cheap and ensures a tight seal.