God Is Always Intervening
I think a pretty non-controversial definition of a miracle is an occurrence that either contradicts or supersedes our current understanding of how the world works. If a person gets cancer, then from what we know of how the world works, that person will die, and if the person recovers, then we consider that a miracle. Their recovery seems to contradict what we know about cancer and how the world works. But people do sometimes recover from cancer and there are examples where people have recovered with or without chemo radiation treatments, with or without surgery, with or without radical changes in diet, and with or without fasting and prayers and priesthood blessings. I think it's fair to say that we have an imperfect knowledge of how and why cancer sometimes leads to death and sometimes it doesn't. If you think about it, miracles have a lot more to do with our own ignorance than with some notion that God is acting contrary to the laws of nature. Miracles are examples of divine intervention, but only when such divine intervention runs counter to our understanding. God is always intervening. He is intimately involved in the details of our lives. He labors tirelessly for our well being, to ensure that we find peace and hope and joy in this world, and to learn and grow and qualify to return to Him in the world to come. We might say that we recognize miracles when they both surpass our understanding and also align with our desires. We find it miraculous when God's work happens to line up with what we want. But we would be able to not only see a lot more miracles but also understand the world and more importantly the Lord's work much better if we tried to bring our desires and our thoughts in line with the Lord's. God is a God of miracles. Everything He does is by definition a miracle, so the more we get to know God and see the world and our lives through His eyes, the more we will see His miracles, great and small.