Select a container that has drainage holes or channels to keep the growing medium from staying too wet while the cuttings develop roots. Fill the flower pot or other suitable container with potting soil or rooting medium. Water the material thoroughly and allow the excess water to drain away before proceeding.
Cut a stem from the parent plant. Choose mature new growth and strip off any lower leaves present on the stem. Use the scissors or clippers to make clean cuts. If the stem has immature side branches or twigs, you can cut them off or leave them in place. They will not disturb the rooting process.
Poke a hole in the growing medium with the pencil or similar object. Dip the cut end of the stem into rooting hormone, if desired, then stick the cutting into the hole. If you are rooting more than one cutting, make one hole for each stem. Push the growing medium closed around the stem with your fingers.
Position the cuttings in bright, indirect light and away from drafts such as air conditioner vents in the home. Keep the cuttings moist for four to six weeks.
Transplant the new Aucuba japonica plants to an area of the garden that receives partial sun to full shade. Protect the plants from harsh sunlight in both summer and winter. The plant prefers well-drained soil rich in organic matter. Water regularly, but do not allow the soil to stay wet or the roots may rot.