Disbursement means the payment of money from a fund or account. If the disbursement of paychecks at your job was delayed because your boss forgot to fill out some paperwork, you'd probably be furious.
Disbursement is a noun that describes the spending or distributing of money. Governments manage the disbursement of funds to various departments and groups. The word disbursement comes from the Old French word desbourser, "extract money from a purse," with bourse meaning "purse." Don't confuse disbursement with dispersement, which means "separating or scattering."