According to the scripture it's death that breaks marriage bonds. If a spouse dies the widower/widow is free to remarry...
1 Corinthians 7:39 The wife is bound by the law as long as her husband liveth; but if her husband be dead, she is at liberty to be married to whom she will; only in the Lord.
A divorced woman doesn't have a husband. I believe that scripture is talking about separation (because they are still husband and wife) instead of divorce where they are no longer husband and wife.
The marriage vows are to love, honor, cherish, and remain faithful in the marriage. Since marriage is a bilateral covenant, the failure of either party to keep their side of the contract releases the other party of their obligations. Then remarriage is possible.
If the divorce was because they just didn't put in the effort, then they should try to repair that marriage and refrain from involving others in it. I personally don't know any marriages like this.
If either member of the marriage has had sex with someone else, then the other one is free from the marriage contract.
If a spouse wants out of the marriage, then the other one lets them go and is freed from the marriage contract.
If a spouse is abusive, then they have broken the covenant with every lie, slap, rape, or manipulation. The other spouse is free from the marriage contract.