Both Uses of

remiss

in

Measure for Measure

The law hath not been dead, though it hath slept: Those many had not dared to do that evil If the first that did the edict infringe Had answer'd for his deed: now 'tis awake; Takes note of what is done; and, like a prophet, Looks in a glass that shows what future evils,— Either now, or by remissness new conceiv'd, And so in progress to be hatch'd and born,— Are now to have no successive degrees, But, where they live, to end.†
Scene 2.2

remissness = carelessness -- especially with regard to a duty

I told you: Lord Angelo, belike thinking me remiss in mine office, awakens me with this unwonted putting-on; methinks strangely, for he hath not used it before.†
Scene 4.2 *

Definition:

careless -- especially with regard to a duty