I got pinged by @swamidass in the other thread, so I thought I will provide the standard Catholic teaching on divine action (note: while standard, this is not de fide, i.e. one can refuse it and still be considered Catholic). This teaching came from at least Thomas Aquinas, but might be older.
God upholds and sustains all of creation (Catechism of the Catholic Church: 301): This means that in addition to creating the universe, God also keeps it going. Indeed, God sustains the laws of physics, and thus objects simply following the laws of physics are considered examples of divine action.
Importantly, God is not a domino toppler who built a universe with its laws, started it and left it going independently of him. God is also not an author who wrote in a book every single events, as then God can go to sleep and the story sustains itself - existing without the need of God. The closest analogy I can find is a game master in Dungeons & Dragons: the movement of the Universe is contingent on God playing, and when God stops playing, the Universe ceases to be.
I hope this also explains why typically Catholics disagree with Methodological Naturalism (at least the ones that do not hold that MN is tautological to begin with).
An extension of the classical teaching in the previous paragraph is the additional demand that God created the natural world to be complete (Genesis 1:31 - And God saw all the things that he had made, and they were very good), and changing it is against his nature (Divine Immutability, from e.g. Lateran Council IV: DS 800). He does not change the laws of physics to perform miracles. All miracles have natural explanations.