Credit cards compound interest on the balance every month, and at today's average purchase APR of around 22%, that interest is large relative to a typical payment. If you owe $6,000 at 22.9%, the first month's interest is roughly $115 — so a $250 payment only reduces the balance by about $135. That's why balances feel stuck.
The calculator models this exactly: interest is charged on the outstanding balance each month, your payment covers that interest first, and only what's left reduces the principal. Early in a payoff, most of your money fights interest; late in the payoff, almost all of it reduces the balance.