swimmingly
In a very smooth, easy, and successful way.
When something is going swimmingly, it's proceeding smoothly and successfully, without problems or difficulties. If your science fair project is going swimmingly, everything is working out just as you hoped: your experiment produces clear results, your poster looks great, and you finish with time to spare.
The word comes from the image of a strong swimmer gliding easily through calm water, making steady progress without struggle. When a plan goes swimmingly, it feels almost effortless, like everything is falling into place.
You might say that your first day at a new school went swimmingly if you made friends quickly, found your classrooms without getting lost, and enjoyed your teachers. Or that a family road trip is going swimmingly when the weather stays nice, traffic is light, and everyone gets along.
The word always carries a positive, slightly cheerful tone. Nobody says things are going swimmingly when they're barely scraping by. It suggests genuine success and ease, the satisfying feeling when preparation and luck combine to make something work beautifully.