I am not sold on the miraculous/natural distinction.
After all what may have seemed "miraculous" may have a "natural" explanation as a result of advances in technology.
Talking to someone in another country would have seemed miraculous centuries ago.
The things God is said to have done may seem similarly miraculous, yet have natural explanations we are not aware of.
In fact the one thing I would truly reserve the term "miraculous" for, as perhaps undeconstrucable, is the very fact of existence itself. Since what natural law could be invoked as explanation for the existence of everything, including the laws of nature themselves?