Salt Soap

I can not find anywhere on the web, why exactly did the salt off the soap in the water.

You talk about the process called leaching to remove sodium [soap] stearate solution after its formation

When triglycerides are reacted with sodium hydroxide, the connection between the oxygen atom of the carboxylic acid group and the carbon atom of glycerol is broken. This process is called saponification. The oxygen atom captures the atom, sodium hydroxide and thus allows this chain fatty acid soluble in water. The sodium salt of a fatty acid is called soap. The hydroxide group (OH) from sodium hydroxide, and then attached to the glycerol molecule. When the three fatty acids are removed, the reaction is complete.

When the reaction is complete, the glycerol must be separated from the soap. This is done by adding water to the mix to make it more liquid in texture, then adding a saturated solution of salt water. Glycerol is more soluble in seawater than soap and, therefore, allows the two chemicals must be separated. This process is called "salting out" the soap.