The term 'remnant of a burned coal' can be summarized as 'CINDER', which is a 6-letter word. CINDER is a small, partially burned piece of coal that is left over after a fire has been extinguished. It is usually gray or black in color and is composed of ash and other materials that have been heated to high temperatures. CINDER is often used in construction and landscaping projects, as well as for fuel in some industrial processes.