What will the police do once you've notified them?
No witness or no forensic interest items
If there is no obvious witness, forensic items of interest (such as blood, hair or clothing) or CCTV covering the incident then the phone operator will likely record the crime over the phone with you and provide you with a crime reference number. If your vehicle has been stolen then the police will enter your vehicle details into a database so if it is stopped by the police in future, or captured via a ANPR (Automatic Number Plate Recognition) device, the vehicle can be recovered and the perpetrators caught.
If your stolen vehicle is recovered, then the police will contact you. If it has, however, been used by the thieves in additional serious crimes then the police may need to retain it for several days to conduct forensic tests. You will need to contact your insurance company when the car is found so they can arrange the recovery and repair of it.
Potential witness or forensic interest items
If there are witnesses to your vehicle being damaged or stolen, or forensic evidence then the phone operator will arrange for an officer to attend the scene where they will take witness statements and collect any evidence.