I should add... the real problem with spilling water at our house is that it usually spills onto the table, and there are usually books on the table - sometimes library ones - which do not take so kindly to that particular form of cleaning.
I should have explained that this spilled on the kitchen counter. Usually, it is milk that spills this way and it is horrible to clean. This was much easier. ;-)
I sloshed a quart or so of soapy water over the edge of the sink while washing dishes tonight, and now my countertop and floor are so much cleaner! And so is my shirt! Woohoo!