Protect the piece of tile you are going to be cutting with the grinder. Cover the area you are cutting with a couple layers of masking tape to keep the tile from chipping. Mark the piece of tile you are going to cut on top of the layer of masking tape.
Cut any grout out surrounding the piece of tile you need to cut. Vibrations from the blade as it cuts the tile can affect other pieces in the installation if the vibrations carry through the grout to adjacent tiles. If the grout is gone the tile will vibrate on its own as you cut it. Pull the trigger on the grinder and let the blade sink into the joint to remove the grout around your cut area.
Cut the piece of tile or tiles with the grinder. Hold the grinder firmly in both hands and use the lines on your masking tape as a guide for the blade. Pull the trigger on the grinder and push the blade down into the face of the tile along your marks. Cut the perimeter of the area and then cut an X across the area. Use a screwdriver and pair of pliers to remove the remnants of the cut.