I'm posting this because it's a question I had after passing the NCLEX.
It appears that the Michigan BON posts official licenses three (3) business days after candidates pass the board exam. Several peers have also had their licenses posted on the third business day.
Specifically, I passed last Thursday, 6/6/13. My license appeared on the BON Web site this morning, 6/11/13, with an effective date of 6/10/13.