If you go and make complain and if you are not claiming full insurance then you will get the papers immediately. The police will just look at the damage make a report and ask you to put a QR5/- stamp. Thats all you just take the paper and go to any garage of your choice.
Other wise you may have to wait for a few days sometimes as less as 3
and after that they will give you the report. I think if you are going to claim insurance then you need to pay QR 100/- at the traffic dept I think before they give you the paper to take to the insurance company.