Generally New York casting, all auditions tend to be somewhat different but they share similarities between each type. For a basic audition in New York, you could either have an appointment (typical for those that are working with an agent) or you would have your name taken by the stage manager or whoever is sitting behind the greeting desk, along with your headshot/resume and information sheet if they have one there.
If you have an appointment, you may find that you are waiting about fifteen minutes to be seen and that is if they are running on time. If you have signed up at the desk, be prepared to wait. Do not be discouraged when you see the competition, because when they are calling out to actors to attend the auditions there are usually a good number of actors that get called into these auditions in New York.
Keep your monologue to under three minutes, even less time if you can find that possible to do. By that time, they should have a good sense of your skills and talent and be able to make a decision from what they have seen of you during the audition. Remember to leave your casting director or auditor wanting more; not looking at their watches or watching the clock waiting for you to just finish your audition already so they can move on to the next actor or go on their lunch break.