Welcome to LRH..
If this is a new rifle you may want to follow some breakin procedure, this is a topic of debate and IS often debated.
I clean the bore of my rifles with a mixture of 66% Shooter's Choice and 33% Kroil (a penetrating oil) the remaining 1% is lost in the math. Somewhere on this site is a long post about cleaning I believe.
I clean the action and recoil lug area with this same mixture and for this I use a Sinclair action cleaning tool.
The bolt, bolt face and recoil lugs are cleaned also and the rear of the recoil lugs are lubricated with high pressure grease to prevent galling.
The rifle should be looked over for obvious defects and known trouble spots.
The barrel must be in such a condition as to have the same amount of pressure at the same location for every shot. This can be equated to being "free floated" with no pressure anywhere when shot from any position or shooting style, OR is could mean that the rifle barrel is completely bedded for full contact the entire length (a very uncommon option).
If you elect to "free float" the barrel it sould be check for any rubs when placed in the elected shooting positions (prone from a bipod or from a bench etc).
The action should be glassed in place but the bedding should NOT touch on the bottom, sides and front of the recoil lug (my interpretation). The action should be tightened into the stock with equal pressure each time it's removed and replaced (I seldom remove my rifle from it's stock and I use a torque wrench for replacement). You may want to pillar bed the stock if it's not already done and certainly should be done if it's a wooden stock. Make sure the action screws don't touch the sides of the holes in the stock, in other words the holes MUST be large enough so that the screws don't touch the sides of the scew holes (if the screws touch the screw holes the action may/will recoil on the screw holes instead of the recoil lug as desired, sometimes this problem will even split the stock at the grip).
These bedding and action tightening hints should be accomplished AFTER you fire a few rounds through the rifle. This is to establish a baseline as the rifle may shoot very well right now and without shooting it how is one to know unless it's tested.
Seldom can a new shooter outshoot a rifle but there's always the problem of becoming frustrated when a shooter CAN outshoot a rifle.
You'll get a few more informative posts in this thread because of the many variations on accuracy tuning and personal preferences.
The main requirement for long range shooting is consistency and confidence. You MUST be consistent and keep records, the confidence component will sneak up on you very quickly.
Good Luck
[ 01-12-2002: Message edited by: Dave King ]