To help it shatter drill.
Replace soap dish tile wall.
The soap dish tile remove the grout around the tile with a grout saw.
Install a replacement soap dish of either the retrofit style or in plain tile.
Clean the area the new tile will not.
Install a 1 4 inch masonry bit.
Regrout after 24 hours.
Remove the broken soap dish a fractured soap dish may almost fall off the wall by itself.
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.
Use thin set and hold your new soap dish in place using long strips of duct tape crossing the new dish tile.
Using a hammer and nail punch small divets into the tile in an x pattern.
Place masking tape over the tile.