What are the key steps involved in implementing the quaternary search algorithm for efficient searching in a sorted array?

The key steps in implementing the quaternary search algorithm for efficient searching in a sorted array are as follows:

1. Divide the array into four parts instead of two in binary search.
2. Calculate the mid1 and mid2 points to divide the array into four equal parts.
3. Compare the target element with the elements at mid1 and mid2.
4. Based on the comparison, narrow down the search space to one of the four parts.
5. Repeat the process until the target element is found or the search space is empty.