To reckon with something or somebody or not, i.e to reckon without something or somebody: to take into account, deal with, consider or not, i.e. to misjudge, ignore, not take into account, not deal with, not consider or fail to consider; e.g. reckon without one's host
To come to an accounting; to draw up or settle accounts; to examine and strike the balance of debt and credit; to adjust relations of desert or penalty.