Abstract: Dust like substances which are recovered from a garbage or refuse incinerator are destroyed, eliminated or disposed of by smelting in a low shaft electric furnace having at least one electrode heating a slag melt therein. The dust is introduced into the melt by a lance opening beneath the melting surface and gas produced by the smelting process is subjected to cleaning. The slag may be continuously or discontinuously withdrawn and slag formers may be compensatorily added. A metal bath consisting predominantly of iron may be provided below the slag melt to protect metallic components of the dust upon the smelting thereof.