Larger granite remnants make lovely single-slab tops for dining or occasional tables when attached to a wooden or metal base. For an eye-catching table, attach your slab to the base of an antique sewing machine. If your granite remnants are smaller, make a table top by mortaring the pieces together over plywood or a metal open-mesh patio table.
In the kitchen, use small granite remnants as trivets or cut them down to make coasters. Reserve a smooth piece to use as a bread and cheese server or cutting or pastry board. If you have several larger remnants, mortar them together like ordinary tiles to make a backsplash behind the sink in the bath or kitchen, or to accent a tiled floor or shower surround.
Use granite remnants under potted plants on wooden surfaces to prevent water staining. Small granite pieces can be pretty focal points in stepping-stone garden paths. Irregular pieces set upright in the soil form interesting rough borders along paths or around garden beds. Stacked granite pieces can be used as the foundation of a small fountain or as the base of a sundial or gazing globe. If you have enough remnants, make an attractive patio for garden entertaining or pave a sitting area around a fire pit. Other stones and tiles can be incorporated into paving projects, if you don't have enough granite pieces.
Use granite slabs as bases or plinths for small statues, or as backdrops to display small collections of coins, arrowheads or fossils. Join two slabs at right angles with masonry cement or by drilling and bolting them to create heavy bookends. Use tile-sized pieces as accents in mosaics or put them together with mortar over a flat wooden base to make a picture frame.