Magic is abstracted. Miracle is specific to time, space, and situation. Magic relates to the personal power of one. Miracle relates to the collective power of the holy spirit. Magic deals with power and control.
Miracle deals with love, fulfillment, and transformation.
Here is the most miraculous, the most remarkable, thing about the miracles of Jesus as opposed to the work of the magician. You can feel the love on that hillside. It was an incredible day. It started out as a crowd of people pushing one another around, trying to get to the front to hear Jesus and be healed. But it ended as a community of people sitting down on the hillside, neither in front nor in back, feeding one another.