When we buy a new rifle, almost certainly the first shots will be fired at a paper target with two aims in mind (pun intended). Firstly, and most importantly, to ensure that the rifle is shooting where we aim it and secondly to see just how it groups, to prove the accuracy with a particular batch or type of ammunition.
Resting the rifle on a rolled-up coat over the bonnet of a vehicle is not likely to produce the best results. In descending order, the best type of rest is those used by benchrest shooters at some rifle ranges - they simply do not move. Next is a portable bench. If you test lots of ammunition or are remote from a suitable SSAA range, they are ideal. Personally, I have used several and have found them to be most acceptable. Finally, shooting off the ground with a bipod.
You should start with the rifle and ensure that the bore is clean and dry, even if the rifle is new. The action screws should be snug without being over-tight. Check that the telescopic sight screws are also tight.
Normally, testing