Kenmore Dishwashing not working properly.

First off check to see if the drain hose is clogged where it meets the sink drain. 9x out of 10 this is the problem. Then remove the grate cover for the drain under the bottom rack at the back of the unit and check for lost utensils, broken glass, food residue, etc... If these are fine, then it sounds like a clog in the drain line at the water pump or a possible problem with the water pump, as long as it IS cycling right and there are no missed steps along the way (i.e. the last drain cycle before the rinse doesn't kick in and therefor uses the wash water as rinse water). The water pump is under the unit, so you will have to pull it out of it's hole. Remove the bottom panel under the door, remove the box cover on either the right or left hand side AFTER YOU FLIP THE BREAKER FOR IT and remove the wirenuts and free the line from the unit, and turn off water valve under the sink and unhook from the solenoid valve under the unit, and finally remove the drain again from the sink. Pull out of hole by finagling and sheer willpower LOL making sure you stop every once in a while to feed the drain hose back through the hole in your cabinet. You will have to split (take apart) the case of the water pump after you remove it from the unit and check the impeller for wear and to make sure it creates a good seal against housing and make sure the diverter engages properly and diverts water to the specified port (wash or drain) in the correct cycle. You may have to use an old extension cord, cut off the receptacle and hook up wires so you can work this outside. Should cure up any problem. Hope this helps.