Definify.com

Webster 1913 Edition

adv.

In a broken, interrupted manner; in a broken state; in broken language.

The pagans worship God . . . as it were

brokenly

and by piecemeal.

Cudworth.

adv.

In a broken interrupted manner; without a regular series.

brokenly ‎(comparative more brokenly, superlative most brokenly)

In a broken manner.
(of speech) With spaces between words, especially due to emotion.
- 1960, P[elham] G[renville] Wodehouse, “chapter XVI”, in Jeeves in the Offing, London: Herbert Jenkins, OCLC 1227855:
  Upon which, you slink out, bathed in shame and confusion, and Upjohn thanks me brokenly and says if there is anything he can do for me, I have only to name it.