Deism
One attempt to argue that science compliments religion is the theory of "Deism". In basic terms, "Deism" accepts the proposition that God created the universe (with all its physical laws). However, having done so, He then "stands back" from His creation and allows people to live their lives, as they see fit, within a "naturally ordered" universe. Deism, therefore, involves the idea that God will not intervene in the working of the universe (through such things as miracles, for example). This rather neat formulation resolves a number of philosophical problems:
Firstly, it resolves the problem of conflict between scientific and religious belief systems. In this view, science no-longer directly challenges religion; rather, it compliments it in a way that allows two potentially anti-thetical (that is, fundamentally opposed) viewpoints to happily (and, it must be said, conveniently) co-exist.
Secondly, it resolves the problem of why the natural world obeys certain logically-consistent laws (such as laws of motion). In basic terms, these laws were created by God (a Higher Intelligence) and his refusal to intervene in the world explains why the natural world is logical and consistent.
Finally, for an interesting criticism of this general proposition, see R.Dawkins "The Blind Watchmaker". For an analysis of the methodological shortcomings and problems of this type of theory, you might like to check-out the views of Sir Karl Popper...