Dishwasher not draining

SOURCE: Danby DDW1802W Cycle Problems

The fill valve is probably stuck in the full position. It's at the bottom of the tub and looks like a small tube with a cap on it. You should be able to move the cap up and down easily.

SOURCE: kenmore dishwasher makes grinding noise while draining

disassemble the top of the dishwasher pump, remove the bottom spray arm and remove the screws on the top of the pump housing this will get you started

SOURCE: dishwasher won't drain water

The bubbles created by the dish soap could cause poor draining, but I would think it would just cause more of a bubble problem than a draining problem...
Either way, some people would say to throw a cup of vinegar into the wash area, but I prefer to just use water.
Disconnect the drain line from the machine at the sink and route it into a 5 gallon bucket. Drain and fill the machine several times to clear the bubbles out. This will also give you the opportunity to see if the drain problem you state is a machine problem or a drain problem.
Hope this helps,
Kermit

SOURCE: Kenmore Ultra Wash III Dishwasher will not drain properly

Fixerfailure, is the knock-out plug still inside if the garbage disposal inlet?

Stick a screwdriver in there to make sure.

spazmo1969, could be the rubber flapper is broken off in the pump discharge outlet.

SOURCE: Dishwasher drains into sink

As background, the dirty water typically goes from the dishwasher to a small tube within a tube, and that goes to the disposal. This ensures that your dishwasher does not back up in the event of a clog.

The problem is likely that the tube that links the thing you see next to your faucet to the disposal is either totally or, more likely, partially blocked.

I recommend taking the entire flex pipe off and inspecting. In my case it was about 80% blocked, so a simple test whereby water was pored down failed to show the issue.

Once I took it apart and gave the tube a plumbing version of an angioplasty all was well.