there are some good vids on youtube if you search 10/22 cleaning. also, the ruger company website has a pretty decent set of tech vids that tell how to take the gun down, clean, and reassemble. that's where i watched, learned and figured it out-- i could pause it anytime and go back if i needed to understand something better. as i watched those, i found the hardest part to be getting the spring and bolt back into the receiver assembly. it really is a simple set of steps, but watch the ruger tech tip, and do exactly what they say. good luck and have fun!
oh, and if you wind up with any spare parts, watch the vid again. ;-) seriously, i probably watched it in whole and in parts a dozen times the first time around with my 10/22.