John Gill Commentary Deuteronomy 24:2

"And when she is departed out of his house, she may go and be another man`s [wife]." — Deuteronomy 24:2 (ASV)

And when she is departed out of his house With her bill of divorce, by which departure out of his house it is notified to all:

she may go and be other man's [wife] ; it was permitted her to marry another man, she being by her divorce freed from the law of her former husband; and who indeed, in express words contained in the divorce, gave her leave so to do; which ran thus, ``you are in your own hand, and have power over yourself to go and marry any other man whom you please; and let no man hinder you in my name, from this day forward and for ever; and, lo, you are free to any man;'' (See Gill on Matthew 5:31).