Sometimes perhaps: Straight on, continuously, right through so as to include the whole quantity or number; one after another. Cf. anon, adv. 2a.

? In due order.

In an ordered or regulated manner; in proper order; in regular succession or sequence; according to order or rule; regularly; properly, duly…

In due or proper order, satisfactorily. Chiefly in to go right.

As or in a series; in order or sequence; one after another; in serial arrangement; = serially, adv.

Part by part, one portion after another.

In succession, in order; = seriatim, adv.

One after another, one by one in succession; in serial order; in turn.

In an ensuing manner: (a) congruously, fittingly; (b) in due order or sequence.

In sequence; on in succession. Obsolete.

Regularly, esp. in regard to spacing; at an equal distance. Cf. even, adj.1 4b.

? In succession.

In order; in the correct order or regular succession; with appropriate arrangement, disposition, or distribution; methodically. Obsolete.

In a connected manner.

In sequent order.