Applications seem to be moving pretty fast. I applied on Saturday night BKK time, and received a approval on Monday afternoon BKK time. (This is for departing this Friday afternoon, so I was cutting it real close).
Just make sure to call your hotel to make sure that they've approved your reservation in the system. At that point you're just going need to wait for the government to do its job, and I assume they only do so during regular weekday working hours.