The phrase appears, with no clear meaning, in a 1755 Samuel Foote nonsense prose poem, "The Grand Panjandrum". In the U.S., soap took on the meaning of money (see OED), and so no soap was a denial of money, say in response to a request for some.
Use liquid bleach that contains 5.25 percent sodium hypochlorite and no soap.
Of course, no soap opera would be complete without those shining moments that make it so successful.
Of course, no soap opera would be even remotely complete without a cast full of hunks and babes.
Most silicone straps emphasize that they can only be washed with water and no soap of any kind.