Remove the broken soap dish a fractured soap dish may almost fall off the wall by itself.
Replace soap dish tile wall.
Install a 1 4 inch masonry bit.
Shower soap dish holders do not last long.
Install a replacement soap dish of either the retrofit style or in plain tile.
The soap dish tile remove the grout around the tile with a grout saw.
Be careful when sanding the tile wall so that you are not extending your scratches beyond the soap dish s future footprint.
Place masking tape over the tile.
With a section of fine grit sandpaper in the 180 to 100 range roughen up the back of the soap dish and the ceramic tile wall.
Regrout after 24 hours.
Loosen the old grout if the soap dish has fallen entirely off the wall you can skip ahead to the third step.
The tape will help keep the drill bit from slipping and ruining an adjacent tile when.
Using a hammer and nail punch small divets into the tile in an x pattern.