early 15c., "weak, dissolved," from Latin remissus "relaxed, languid; negligent," past participle of remittere "slacken, abate, let go" (see remit). Meaning "characterized by lack of strictness" is attested from mid-15c.; that of "characterized by negligence" is from mid-15c.
remiss of you not to pay your bills
Remington
reminisce
reminiscence
reminiscent
remise
remiss
remission
remit
remittance
remitter
remnant