By the "right way" do you mean hot water, adequate soap, removing all of the debris, and rinising off all of the soap, or by "right way" do you mean that glasses are washed first (smallest to biggest and all of the glass ones before plastic), then the plates (but only the large ones) then the bowls, then the smaller plates and then the utensils but only if they are put in this exact spot in the dish dryer, and that the water must be exactly 115 degrees with no less than X amount of soap and this one particular wash cloth...
If the former, go ahead and let her learn how to wash dishes and help you. If the latter, be honest about "Mommy likes it this way because I'm just weird, and it's okay to do it another way, but save that for later please." Then let her stand up on a chair with you and help you wash dishes.