Gently hand wash in warm soapy water then dry immediately after finished and lay in a safe spot away from other metal/hard objects. Never clean/wash a knife in a dishwasher. If it's not a stainless...
You must use a sharpening stone. If it is a stone you use wet it with oil and if it is a diamond stone you wet it with water. Then cut at a slight angle as if you are trying to cut the top level off...
Quite possibly wrong, but I'm wondering if automotive brake cleaner might work. The residue seems similar and many brake pads are ceramic.
Please try isopropyl alcohol rather than brake fluid...