Select a twig containing several healthy, mature leaf buds as your budstick.
Cut a single bud from the budstick using a sharp knife. Special budding knives do exist, but a sharp pocket knife works just as well. Begin the cut 1/2 to 3/4 inch below the bud and slice upward, angling opposite the bud. Stop the cut 1/2 to 3/4 inch above the bud. The remaining sliver of wood is called the shield. The shield must be cut straight, and kept free of dirt. Wavering cuts or particles of dirt can prevent proper bonding between the bud and the understock and result in a failed graft.
Choose a plant with new, healthy growth as your understock.
Designate the graft site. On a young understock, select a smooth area along the main stock 2 to 3 inches above the ground. On a more mature understock, select a smooth area of the main stock free of branches, or a twig-free area on a branch 15 or more inches out from the main stock.
Make a 1 1/2-inch cut at the selected graft site. Be careful to cut only the bark and do not pierce the wood. Cut with the wood grain in an upward direction if the site is located on a vertical stock.
Crosscut the top of the first cut at a downward angle so that a "T" is formed. Again, cut only the bark and not the wood.
Lift the bark at the intersection of the two cuts. Insert the base of the bud into the bark and slide it downward so that the top of the bud is even with or lower than the crosscut.
Wrap the site above and below the bud to keep direct contact between the bud and the understock. This keeps the bud from dislodging before it can form a union with the understock. Use grafting tape or rubber grafting bands because they are designed to prevent damage to the tree. Electrical tape and even duct tape work as well.
Wait about ten days and then check on the graft. If the bud and understock look fresh and healthy, they have formed a union and the graft is successful. If either the bud or the understock look dry and withered, the graft has failed.
Prune off any remaining budstick above the bud. Also prune any off-shoots once the bud graft begins to grow.
Eliminate the danger of the mature tree producing both the budded variety of fruit and the tree's original variety of fruit by pruning away any growth on the understock that is not the result of grafting.