When you get the printout from your landlord just go to the small office out the back of the airport immigration in CM and they will give you the official receipt. Takes 2 minutes. I had to do it recently for my 90 day report. They will NOT do it at Promenada
I have applied in Auckland as a British citizen and a friend with a german passport was also successful. The turnaround time is not quick...4 or 5 days