Keep your cast iron ware in a dry, well-ventilated place to prevent rusting.
The best way to remove ash residue is simply to brush or wipe it off with a dry dishcloth.
If washing to remove ash residue, please rinse with plain water, do not use soap or a scrub brush, and dry thoroughly to ensure no moisture is left behind.
For products with grooves, use a blow dryer to ensure all nooks are well-dried.