I am divorced due to my wife leaving me, so i have read books on this along with all scripture references.
Mat 19:9 And I say unto you, Whosoever shall put away his wife, except [it be] for fornication, and shall marry another, committeth adultery: and whoso marrieth her which is put away doth commit adultery.
Mar 10:2 And the Pharisees came to him, and asked him, Is it lawful for a man to put away [his] wife? tempting him.
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Mar 10:11 And he saith unto them, Whosoever shall put away his wife, and marry another, committeth adultery against her.
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Mar 10:12 And if a woman shall put away her husband, and be married to another, she committeth adultery.
Luk 16:18 Whosoever putteth away his wife, and marrieth another, committeth adultery: and whosoever marrieth her that is put away from [her] husband committeth adultery.
1Cr 7:10 And unto the married I command, [yet] not I, but the Lord, Let not the wife depart from [her] husband:
1Cr 7:11 But and if she depart, let her remain unmarried, or be reconciled to [her] husband: and let not the husband put away [his] wife.
1Cr 7:12 But to the rest speak I, not the Lord: If any brother hath a wife that believeth not, and she be pleased to dwell with him, let him not put her away.
1Cr 7:13 And the woman which hath an husband that believeth not, and if he be pleased to dwell with her, let her not leave him.
1Cr 7:14 For the unbelieving husband is sanctified by the wife, and the unbelieving wife is sanctified by the husband: else were your children unclean; but now are they holy.
1Cr 7:15 But if the unbelieving depart, let him depart. A brother or a sister is not under bondage in such [cases]: but God hath called us to peace. ---------------------------------------------
The way it is interpreted is that only adultery permits divorce. And if you are a believer and your non-believing spouse leaves you then you are free to re-marry because you are no longer under bondage.... but read these verses in context, that will help a lot.