Bella begins to walk from her house toward her friend Ella's house. At the same time, Ella begins to ride her bicycle toward Bella's house. They each maintain a constant speed, and Ella rides $3$ times as fast as Bella walks. The distance between their houses is $3$ miles, which is $15,840$ feet, and Bella covers $3$ feet with each step. How many steps will Bella take by the time she meets Ella?