Why, a hundred years later, liberation from Horde rule was possible without battle and bloodshed?

In fact, the battle was taking place, just not on such a scale. At that time, that is, at the end of the 15th century, the horde was much weaker, while Moscow was very strong. In this connection, she was able to easily free herself from the influence of the horde. Thus, during the reign of Ivan III, the Moscow principality turned into an independent state.