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Combine together 2-3 cups of grout mixture with a bit of acrylic admix.  Stir the combination until the consistency is that of thick cottage cheese.  Grout comes in many colors and there are colors you can add to the grout to change the coloring.  Choose a color that accents your mosaic. Fill in the creases between the tiles. The grout should cover the mosaic enough to fill the gaps.  Work in small areas at a time and wipe off any excess grout as you go along.  Each time you grout around a new piece, give the tesserae a gentle push to make sure the tile sticks to the grout. Make sure you are wearing gloves as you apply, otherwise the grout will stick and solidify on your hands. Wipe the mosaic with a clean sponge and warm water.  Rinse out the sponge regularly as you wipe away grout from the surface of the tiles.  After you are done cleaning, let the water sit in the bucket for a while.  The grout will sink to the bottom.  You can then pour out the water, and dump the grout into a trashcan. This will coat the tiles and safeguard against damage, especially for outdoor mosaics subjected to fluctuating temperatures and adverse weather conditions.  It also will give a high gloss shine that will make the colors stand out.  Tile and stone-floor sealers can be purchased at most local hardware stores.  You will want to apply two coats.  Use a paintbrush to apply each coat.  In between coats, wait about 10-15 minutes for the varnish to dry. After the sealer has dried, buff the mosaic with a soft towel.  This will give your mosaic a nice clean finish. Reapply every few years for added protection. This is strictly optional, but can add a level of dimension to your work, especially if it is a tile or table.  You can affix pieces of tesserae to the edges using the same mortar and grout steps.  Another great option is the paint the edges using an acrylic paint.  You can also pack grout onto the edges, using a spatula, for a more textured look.

Summary:
Prepare the grout mixture. Apply the grout using a spatula. Let the grout set between 24-48 hours. Seal the mosaic with varnish. Create an edging for your mosaic. Finished.