With time, dust collects on the white tiles in my bathroom:
You cannot just wipe away the dust with a dry rag. I guess the humidity in the bathroom makes the dust stick to the tiles. It only comes off when you use a wet rag or wash it off with flowing water (e.g. using the shower head).
Washing the dust off using the shower head works fine where the wall is over the bath tub and the water runs safely into the tub. It is not an option, though, in most parts of the bath, where the water would run down onto the floor and away into the adjoining room, damaging the wooden parquet there.
But when I try to wipe the dust off with a wet cloth, only part of it sticks to the cloth, the rest kind of rolls together into little rolls of wet dust that remain on the wall:
Getting these off is rather time consuming. When you wipe the same are repeatedly, the dust rolls that are on the cloth get spread over the tiles again. So you bascially have to wash out the cloth under running water after every wipe. And even with a clean cloth you can usually only pick up a part of the wet dust rolls, and it takes quite a large number of wipes to get even a small area clean. Cleaning the whole bathroom wall requires hours of wiping, washing out the cloth, and wiping again. This is so tiring and annyoing, that I have stopped cleaning the bathroom walls. But now I'm moving out and must clean them.
Any ideas on how to clean the dust from the tiles in my bathroom efficiently without flooding the whole bath?