I don’t understand this area very well. And I think there is diversity in how God works.
Ultimately, it is a relational process. Prayer stands in contrast to magic, where a certain scroll or formulas can compel spiritual powers to provide a desired result. Rather, when we seek God in prayer, we are talking with a loving heavenly Father.
That said, I am at a gathering of leaders who are committed to prayer this week. I have heard many stories of miracles taking place from them. For instance, a girl who had a new eardrum provided for her. A man who had back surgery scheduled, but after a prayer meeting, his back was healed and the surgery was canceled.
Hearing these stories from trusted leaders, I am encouraged that God continues to supernaturally heal people today.