Applying ice to a fire victim leads to tissue hypoxia and necrosis because it will change the skin's temperature too fast and may cause frostbite. The burn could have had removed a layer of skin, leaving the fragile tissue exposed which will be more sensitive to the ice.
In terms of cell division, normal cells differ from cancer cells in at least four ways. Normal cells require external growth factors to divide. When synthesis of these growth factors is inhibited by normal cell regulation, the cells stop dividing.