It sounds like your soapstone is on the floor, maybe tiles? In that case, I believe the soapstone is rougher (un-sanded). When we clean our countertop soapstone , I first wipe the surface down with denatured alcohol.
If there are any surface stains remaining, I come back with water and wipe again. To clean your soapstone : Soap and water will do the trick. Because of its extreme density, soapstone is naturally resistant to bacteria and germs. Use a bit of mil pH balance clear dish soap when you want a bit heavier clean than just water. Any common household cleaner can be used to clean soapstone counter surfaces.
Chemicals and acids do not harm it. However, we do recommend that you use regular soap and water because harsher solvents may remove the mineral oil treatment, therefore generating more maintenance. Keeping your countertop clean and shiny is easy. Simply use mild dish soap and never use any harsh cleaners on it.
Discover how to clean countertops and keep them in top shape. Stone countertops not only add an expensive touch to kitchens, baths, and multi-purpose rooms, they are an excellent choice for durability. Remember, this stuff in impenetrable. Nothing can get down into this stone!
Most of the time, we clean it with just Windex. If something really stickly or thick is spilled on it then we used soap and water followed by Windex to give it that glass like shine.