My Kenmore clothes washer {model #110. 24902200 series 90} does not cycle on its own after the wash or rinse, I have to stop it, turn the dial 1 click or sometimes 2 and start it again, it will continue to the next point and I will have to do the same but after all of the rinse cycles it will continue and finish the wash even the 2rinse cycle, can anyone tell me what will cause that and how can I remedy that problem? Thank you.

You simply change out the timer motor. Most likely you can find one with the same RPMs on the gear end at a used appliance store, or if the timer is not too expensive just buy a new after market one.