From the Ruger Blackhawk .357 manual:
CARE AND CLEANING
MAKE SURE GUN IS UNLOADED!
Always be certain the revolver is completely unloaded before cleaning. At regular intervals or when the revolver has been exposed to sand, water or other adverse conditions, disassemble, clean and oil it.
To clean the revolver after firing:
1.Remove the cylinder as described on p. 20.
2.Clean the barrel from the muzzle by running a cleaning rod with a solvent coated patch through the bore several times. A bronze wire brush, of a size appropriate to the bore size, attached to the cleaning rod should then be pushed the full length of the bore several times.
3.Again swab the bore with a solvent coated patch. Then wipe the rod clean and, using a dry patch, swab the bore until it is clean.
4.Repeat the above procedure for each of the six chambers.
5.Run a lightly oiled patch through the bore and each chamber.
https://ruger-docs.s3.amazonaws.com/_manuals/blackhawk.pdf
And from the Ruger M-77 Hawkeye rifle manual:
2. Push-pull a solvent-wetted patch through the bore several times. Next, using a solvent-wetted brush, run it the full length of the bore as many times as is necessary to completely remove all foreign matter from the bore and chamber. Dry the bore with clean patches and examine it. If bore remains fouled, repeat the brushing. Complete the cleaning by dry-patch wiping of bore and chamber.
https://ruger-docs.s3.amazonaws.com/_manuals/m77Hawkeye.pdf
Then this, from the 10/22 manual:
2. Using a cleaning rod, run a solvent-wetted patch through the bore several times. Then attach a solvent-wetted bristle brush to the rod and run it back and forth the full length of the bore as many times as necessary to remove grease and dirt from the bore and chamber. Clean bore with dry patches and
examine. Bore fouling can contribute to reduced accuracy, and grease accumulation in the chamber can interfere with proper feeding of cartridges from the magazine.
3. Using powder solvent on a clean patch or bristle brush, remove powder residue from all components of the mechanism. After cleaning, run a dry patch through the bore, then follow with a patch that is very lightly oiled. Wipe all surfaces clean with cloth, then wipe all surfaces with a patch or cloth that has been very lightly oiled.
https://ruger-docs.s3.amazonaws.com/_manuals/1022.pdf
And this, from the Mini-30:
3. Using powder solvent on a clean patch or bristle brush, remove powder residue from all components of the mechanism. After cleaning, run a dry patch through the bore, then follow with a patch that is very lightly oiled. Wipe all surfaces clean with cloth, then wipe all surfaces with a patch or cloth that has been very lightly oiled.
https://ruger-docs.s3.amazonaws.com/_manuals/miniThirty.pdf
Ruger seems to recommend different final steps for the bores of revolvers and rifles, depending on the model.
gd