This is a great method to avoid grout haze entirely.
The first time grouting is a bit stressful because the stuff is going to dry where it is forever and you want to do a nice job. You want to do it right and you never want to buy grout haze remover because it lowers the integrity of the grout. You will never need grout haze remover if you follow these steps. Now mix your grout using the instruction on the back of the bag. Those instructions are pictures so you cannot mess it up.
Now you are pushing grout into lines and removing the excess. After doing 6-10 square feet you pause from grouting and sponge off the lines. Some dye is left on the tile and perhaps a bit of mushy grout near your lines.
Typically it is recommended that you keep sponging off the tile many times to get rid of the haze. That includes several times the day of grouting and the following day as well. I say, “no!”, to that nonesense.
Instead after two sponging sessions, I take a clean dry rag, cotton cloth, or “polishing cloth” (see below) and towel off the dried dye. You will produce some dust and sand if you are using sanded grout but you can leave that to sweep or vacuum the following day after the grout dries. The material removed with the rag will not stick to the surface.
This is a picture of “polishing cloth” that you can buy where you get your tiling supplies. It is like tack cloth without the tack and in all honesty is worth the couple extra bucks in the time it saves. Better than a cotton cloth…
That’s the trick. Wipe your tile down with a dry towel after doing a couple passes with a sponge and letting it dry. There is no stress, your tile is already shiny.