Hpw To Remove Silicone Adhesive from Shower Walls?

[Jack and Liz Pearce]

Howdy, WanderlodgeForum family.

After bumping it for the umteenth time, Jack removed a soap dispenser
from our shower wall. Underneath the backing plate of this dispenser was
some sort of silicone adhesive. It is clear and I can pick it off in
teeny, tiny pieces. That is not very efficient. We are not sure what
material the shower walls are, either. Don't think that they are Corian.

Any ideas or suggestions as to how to remove this adhesive? <sigh>

Thanks,
Regards,
Jack and Liz Pearce
Fulltiming in a 1993 Wanderlodge WB40
Summering in Buena Vista, CO