Lots of appliances truly are labor-saving devices, but a dishwasher, like an electric can-opener, is not one of them.
Most of the work of "washing" dishes consists of removing them from the table, scraping excess food off, and then putting them in the cupboard after they are washed.
The extra steps are "washing." With a dishwasher, assuming you don't need to pre-wash, this consists of putting them into the dishwasher, putting soap and anti-spot chemical into the dishwasher, and pressing the button.
Without a dishwasher, the extra steps are putting the dishes in the sink. Plugging the sink drain, running the water, adding the dishwashing detergent, and gently wiping each soaked dish with a dish-cloth, then rinsing off each dish. It isn't that much extra work. Most of the cleaning work is done by simply soaking the dishes in a sinkful of detergent-water. Once you soak for 1/2 hour, it is very easy to wipe off any food. The only real added step is wiping, rinsing, and putting each dish in the air drying rack. You just hold each dish under running water for a few moments, turning it in differnt directions to make sure the water runs over all sides -- before putting the dish in the air drying rack. This hardly takes any longer than the other 2 steps -- moving from table to sink or dishwasher, moving from dryer rack or dishwasher to cupboard.