The question is incomplete because HOW you pick the element to move is not given, and that is KEY to how many operations it will take. How you put it at the end matters too: do you swap it, or scoot it? Is this worst case, best case, average case?
The minimum number is zero. This occurs when the input array is already sorted.
I expect that isn't the answer you're looking for. Do you mean the minimum for a specific input array? Or the expected number for an algorithm that minimizes the number of operations? Or something else?
If this is homework, can you post the text of the question that you're trying to answer?