Use thin set and hold your new soap dish in place using long strips of duct tape crossing the new dish tile.
Replace soap dish tile wall.
To help it shatter drill.
The soap dish tile remove the grout around the tile with a grout saw.
Regrout after 24 hours.
Shower soap dish holders do not last long.
Loosen the old grout if the soap dish has fallen entirely off the wall you can skip ahead to the third step.
Clean the area the new tile will not.
The tape will help keep the drill bit from slipping and ruining an adjacent tile when.
Place masking tape over the tile.
Install a 1 4 inch masonry bit.
Remove the broken soap dish a fractured soap dish may almost fall off the wall by itself.
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.