Fill a pot or kettle with water and place it on the stove and turn on the heat source to a medium heat. Use a pot or kettle that can be comfortably carried to the icy stairs where the water will be applied. Alternatively, if the hot water directly from the faucet is warm enough, simply fill a pitcher with this water.
Add salt or brine to the warming water, slowly stirring the salt in to encourage dissolving until enough salt has been added that no more will dissolve but instead remains as crystals.
Turn the heat source off. If the pot or kettle and water are too hot to comfortably handle, let them cool down until the water has reached a more suitable temperature.
Slowly pour the hot or warm salt water on the icy stairs. Work from the top of the stairs downward and focus first on clearing a wide enough walking path on the stairs rather than clearing ice from the entire step.
Repeat the water heating, salt dissolving and pouring until an adequate ice-free path has been created.