A more thorough explanation:

The Counting House of the King's Household is also known as the Board of Green Cloth. It is a group of people who are responsible for managing the financial matters of the royal household. This includes accounting for expenses and paying the wages of the servants who work in the household.

The Board of Green Cloth is made up of the Lord Steward and other officers. The name of the Board comes from the green cloth that covers the table where they conduct their duties. In the past, the Board also had the responsibility of keeping the peace and maintaining courts of justice in the area around the royal household, which is called the verge.

For example, if the King's household needed to purchase new furniture, the Counting House would be responsible for making sure the expense was recorded and paid for. They would also make sure that the wages of the servants who helped move the furniture were paid.

Another example would be if a servant in the King's household had a dispute with another servant. The Board of Green Cloth would have been responsible for resolving the dispute and maintaining peace within the household.