A more thorough explanation:

Remnants and surpluses refer to the proceeds that remain after all the claims for seamen's wages, bottomry bonds, salvage services, and supplies have been paid from the sale of a ship. This term is commonly used in maritime law.

For example, if a ship is sold for $1 million and the total claims for seamen's wages, bottomry bonds, salvage services, and supplies amount to $800,000, then the remnants and surpluses would be $200,000.

Another example would be if a ship is sold for $500,000 and the total claims for seamen's wages, bottomry bonds, salvage services, and supplies amount to $600,000, then there would be no remnants and surpluses. In fact, there would be a deficit of $100,000 that would need to be paid.

These examples illustrate how remnants and surpluses are calculated and how they can either result in a profit or a loss depending on the total claims and the sale price of the ship.