Remove the screw from the center of each burner with a screwdriver. Lift out the burner ring and overflow bowls to expose the manifold.
Clean out the manifold and the recess with dish-washing liquid and warm water. Rinse well with clean water.
Soak the burner rings and overflow bowls in warm water and a little dish-washing liquid for an hour. Clean out the burner holes with a wooden toothpick and scrub the burners and bowls clean with a stiff-bristle brush. Rinse well, blow the burner rings clear with a canister of compressed air and re-assemble the burners.
Empty the fuel tank and take your camping stove to a car wash after each camping trip. Remove the burners and overflow bowls. Clean out the dirt and grease build-up from inside the case with a high-pressure hose at the car wash. Wipe the whole stove down with a wet rag and dish-washing liquid. Rinse well and dry the parts before reassembling the stove.