Spread the grout evenly over the tiled area, using a grout spreader. The grout spreader may be supplied with the grout, or you might need to purchase one separately. Don't worry about getting grout on the tiles. This is unavoidable and won't damage the tile.
Press the grout into the thin gaps between the tiles. You can use the grout spreader to do this. Work the grout firmly into the areas between the tiles, easing any grout on the tile surface back over the gap with the spreader. You can also use your fingers in hard-to-reach areas, such as corners, but be sure to wash your hands afterward.
Wipe the surface of the tiles with a damp cloth to remove excess grout. Wring and rinse out the cloth after each wipe to avoid smearing the excess. Inspect the grout lines to make sure they are all even. Fill in any areas you may have missed.
Wait for the grout to dry completely. This may take 24 hours. When the grout is completely dry, buff the surface with a dry cloth.