Just burn it off and brush it

Burn it off, then give it a quick brush.

You don’t need special cleaners. Most camp stoves are designed to handle a little crud. After cooking, let the burner run on high for a minute or two — that dry heat will turn spilled food into ash. Let it cool, then use a soft brush (a toothbrush works) to knock off the ash and loose debris.

If the stove has a jet (the tiny hole where gas comes out), check it only if the flame looks uneven or weak. Use the little wire tool that came with the stove, or a thin sewing needle. Don’t poke too hard. That jet is delicate.

Avoid soaking the burner head in soapy water — especially if it’s a canister stove. Water gets trapped and can cause corrosion in places you can’t reach. A damp cloth wipe-down of the stove body is fine.

This is not where you need a procedure. You’re scrubbing a greasy pan, not sterilizing an operating table.