Dishwasher? you mean dane, my farm apprentice?
I drop, depending on size (grapefuit vs lime) 1-3 peels in a 1/2 g kettle and boil. That gets poured through a strain into my dish tub, and I use the peels for a day or two before changing- basically when they fall apart on picking them up- Ill boil them thru perhaps 4-5 kettles full.
I use just a few drops- 3-5 of castile per wash, which is about 2-3 g of water for Dane and I for a day, less when Im alone, unless im making bread.
that comes out to about $22-25 for the soap annually. Ill be mving away from it eventually- Ive leaerned a few ways to make even more benign cleanings, but they require plantings and study on my part to understand how to create microclimates, etc. ,
we started using equis etum to make scrubbies, but our variety here- the kind with 'hair' and white rings- is more fragile than the black banded kind. using a poly sock filled with it is working out well. so no need to bug sponges even
IMO the real key to clean stuff is not chemicals. its hot (160f+) water. soak for debris removal in warm water, wipe clean, and good hot (160f+) rinse. the citrus and castilel in the first tub add that extra 2%.
cheers