How do I clean the excess grout/dust off my new ceramic tile?

try cleaning with water and then using a grout sealent that can be purchased at your local hardware store

I bought stuff called zap. I used twice and it worked great. Thing is my mop head decinergrated.

I've had that problem too - took me quite a long time. One thing that helped (presuming your grout is silicon-sealed) was to use a floor steamer (see below). We bought a Eureka Enviro-steamer. Also, have you bought a grout / tile sponge? --j.

Brylane Home online has some blue erasers that work great for grout on tile. They are really cheap. I use them all the time!

Ok,first thing you need to do is STOP wet washing the floor ! Unfortunatly sometimes the more you wet wash it the more powdery residue you'll acquire. You should have washed it initially with a Grout Haze remover . Now, in all honestly the best you can do is DRY wash it with a terry cloth towel or similar,and vacuum up the dusty residue. You may have to do this once or twice and dont be afraid to give it a little elbow grease either. Continuous wet washing will only agrivate the problem. Oh and PLEASE....I beg of you..dont ever use PLEDGE on your ceramic tile. Not unless you want to break your neck walking on it afterwards. Ceramic tile should never be sealed or waxed. You can seal your grout,and seal your marble and or other stone tiles. But not ceramic. Hope you find this info useful and good luck Bellzie :)