Choose the most beautiful leaves, healthy and fleshy, and detach them closer to the stem. Let the wounds heal for a day or two and transplant the cuttings by sinking one third into a very draining mixture (half soil, half sand). Spray moderately. Operate to smother to avoid watering and facilitate rooting. Roots form quickly and new shoots appear in less than a month. Keep the small sedums out of freezing next winter.
In another register: Garden Relaxation explains how to divide and replant a millefeuilles yarrow in 6 steps!