Honorably
impartially, honestly, rightly, fairly, straightforwardly, uprightly, reasonably, moderately, temperately, evenhandedly, righteously, piously, equitably, equably, tolerantly, charitably, virtuously, ethically, beneficently, respectably, benevolently, dutifully, duteously, lawfully, legally, legitimately, rightfully, properly, duly, deservedly, in justice, as deserved, as merited, as it ought to be; see also morally 1.
Exactly
judiciously, fittingly, properly, well, closely, particularly, discriminatingly, distinctly, clearly, precisely, lucidly, realistically, rationally, credibly, nicely, delicately, correctly, scrupulously, meticulously, sedulously, strictly, faithfully, punctiliously, unerringly, unimpeachably, rigorously, severely, religiously, sharply, critically, shrewdly, painstakingly, factually, objectively, detachedly, pictorially, in detail, verbatim, with mathematical exactitude; see also accurately.