The dishwasher attachment basically consisted of three parts: a fixed cylindrical outer tub, a spinning (gyrating) bottom and an oscillating S shaped two-tube gizmo. The "dishwashing" setting of the control knob (further right) of the Thor washer simultaneously combined both rotating and oscillating movements (wash and spin modes) of the washer.
The Bakelite cover had an orifice where the water entered the dishwasher (fed by the water spigot). To wash dishes, you had to load the dishes, add detergent (regular dishwashing detergent, I guess) turn the machine on to the Dishwasher setting, and finally open the hot water faucet. The hot water entered the dishwasher through the orifice in the cover, and directly fell to the bottom, where it met the spinning disk. The disk gyrated the water which gathered at the sides, by centrifugal force. This bottom disk had curved sides, and it was there that the S shaped oscillating tubes scooped it up and flushed it upwards with great force, washing dishes.
IIRC, the faucet could be turned off during the washing process. Once you stopped the washer all water would drain by gravity into the bottom of the machine. You would then proceed to turn the washer on again, used water would be flushed out (remember this is an overflow rinse washer) and opened the hot faucet again for the rinse process. During the rinse process you had to leave the hot water faucet open for some time, to guarantee a good rinse.
As you might have guessed, it was a completely manual cycle. You decided how long the wash cycle was, how much water you added and how long a rinse you wanted. The dishes dried by residual heat. Water had to be very hot to work properly.
Now, about this statement that 4 quarters were needed for a full cycle, I seriously doubt it. I would dare to say 4 quarters were needed just for the wash cycle, and many quarters more for the rinse cycle.