Your un-Sponge is a hardy little workhorse!
It will do best if you wring it out after use and leave it to dry. When you feel it’s ready for a wash just throw it in the laundry with your regular load and finish by air drying.
Your None Sponge should last you very well if cared for properly but should you ever feel like your None Sponge is ready for the bin, fear not! It is fully compostable, just cut up (carefully please!) and add to your compost heap.