My dishwasher is broken (and has been for months) and we're a family of 8.
My dryer is broken, too.
I will remember, though, that I have running water, easily accessible and inexpensive dish soap, and hands to wash them.
I will remember that I have easy access to a nearby laundromat to dry the clothing that I've washed in a machine. Some people still beat their clothing on rocks in rivers and have to walk great distances for that task.