Shulchan Arukh, Even HaEzer Siman 110
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כותבין שובר לאשה אע"פ שאין בעלה עמה ובלבד שיהא מכירה והבעל נותן את שכר הסופר: הגה ות"ח שאין דרכו לדקדק בנשים נאמן אח"כ לומר שטעה וכתב שובר לאשה אחרת על שם זו כי טעה בה (טעם זה מפורש גמרא בפרק גט פשוט):
They write "he breaks [from] a wife" even though she has no husband with her, and only that she is for sale (able to be married). And the husband gives a payment to the scribe. Hagah: And[/but] a talmud chacham (torah scholar), these are not his ways. [Rather, his ways are] to be precise [regarding the matters of] marriage, to be faithful afterwards [and] to say "I erred" and I wrote [a document] and I break [my marriage] with the woman after her [marriage] because he made a mistaken in [marrying] her. (This taste explains the Gemara (explaination) in [the] Chapter [about] divorce documents easily):
המוציא שובר על שם האשה שנפרעה מכתובתה בזמן שהאשה מודה שנתנתו לבעל יחזירנו לו ואם אינה מודה אלא אומרת ממני נפל לא יתננו לא לאיש ולא לאשה:
The finder breaks [the marriage] using the name of the woman, that she is paid back from her ketuba. In [the] time that the woman rejoices that he gave her away [so she could find another] husband, he will return us to him. And if she does not rejoice, rather she says "From me he fell (I didn't consent to the divorce), they will not give them a husband or a wife (neither can get remarried)".