They are all present in this story. And in knowing the difference, we really begin to see the incredible nature of the revelation of God that was in Jesus. 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 redemption. You read in the story that the people wanted to seize Jesus and make him king. This, of course, was the inevitable result of this kind of thing. It is the reason that the business of turning stones into bread was a temptation he rejected when he was out in the wilderness with Satan.