When you receive a check and record it in the Claim Ledger, you can note the amount and what the check/money is to represent.
Demands and Offers track how much money you have calculated a loss is worth, and what the final settlement for that loss will be paid from the carrier. Payments don't come into play yet. Once you receive a check, record it in Claim Ledger (think of it as Accounts Receivable). After checks are recorded, you 'disburse' them - including your company fee and the amount your client keeps. From your company fee, you can determine how you pay out that money - expenses per claim that need to be paid, as well as how much you pay each of your assignable (adjuster, estimator, apprentice, etc.) users on that claim.