The Gift of healing removes the cause of the sickness, and the body recovers itself. The purpose of the Gift of healing is to pull the infirmity out of your body, and the body heals on it's own, as God created the body to self-heal naturally. It does not show an instant sign that the body is healed.
The Working of Miracles is where the person is fully restored from their previous state, immediately, and is visible. Healing removes while Miracles restore!
Luke 17 tells us the story of the 10 leapers who were healed, and where Jesus operated in these two Gifts. First, Jesus operated in Healing (removed infirmity), and thereafter operated in the working of miracles when one person came back to give God the Glory, and he was made whole. The other nine were healed but not made whole, they still had deformity as a result of the leprosy. Healing takes away the sickness, but Miracles make you whole. You must find an environment that stirs the Gift God has given to you.