Clean out the barrel with cleaning rod and patches. Soak the bore, or inside of the barrel, using a cleaning rod, patch holder and the right size cotton patches for your gun. Work from the back of the bore if you can. To thoroughly clean the barrel out, push a solvent-soaked patch through the bore until it exits the other end. Remove the patch, don’t pull it back through. Pulling it back through will just redeposit all the gunk you clean off.
Alternate the bore brush and patches to thoroughly scrub the barrel. Remove the patch holder and attach the bore brush. Run the bore brush back and forth along the full length of the bore 3 or 4 times to loosen any debris. Next, reattach the patch holder and run solvent-soaked cotton patches through the bore. Remove them when they exit the front. Repeat this process until a patch comes out clean. Run one more dry patch through to dry it out and inspect it closely for any build-up you may have missed. Lubricate the barrel. Attach the cotton mop to the cleaning rod. Apply a few drops of gun conditioner or lubricant to the cotton mop and run it through the bore to leave a light coating of gun oil on the inside. Clean and lubricate the action with solvent. Apply solvent to the gun brush and brush all parts of the action. Wipe them dry with a clean cloth. Next, lubricate the moving parts of the action lightly. A light coating helps prevent rust. A heavy coating gets gummy and attracts debris, so only use a small amount.