This question leaves a lot of necessary details out in order to accurately answer the question. So, we will have to give a few different answers and you will have to pick the one that fits.

  1. If you and the woman were married and divorced before you became a Christian—then yes, you are free to remarry.  What happened before we came to the Lord and if we sinned in this regard are put behind us and in this matter we can have a fresh start. 
  2. If you or the woman were Christians before the divorce then that opens a can of worms which we will have to sort out because as Christians we are given specific guidelines on this topic.

As a follower of Christ, he tells us that adultery of the spouse is the only reason for divorce.  Adultery breaks the marriage contract (if you choose to divorce—it is not mandatory), but the adulterer is not free to remarry and remain in Christ. The innocent party is allowed to remarry, but then we have the commission to marry only in the Lord.

So can you remarry a divorced woman?

  1. if she is in the Lord and
  2. if she did not commit adultery against her first husband as a Christian and
  3. if you did not commit adultery against your first wife as a Christian and
  4. if both marriages were dissolved on scriptural grounds (that is unfaithfulness of the spouse), then you may marry a divorced woman.

Mat 5:32  But I say unto you, That whosoever shall put away his wife, saving for the cause of fornication, causeth her to commit adultery: and whosoever shall marry her that is divorced committeth adultery.

Mat 19:8-9  He saith unto them, Moses because of the hardness of your hearts suffered you to put away your wives: but from the beginning it was not so.  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 10:2-12  And the Pharisees came to him, and asked him, Is it lawful for a man to put away his wife? tempting him.  3  And he answered and said unto them, What did Moses command you?  4  And they said, Moses suffered to write a bill of divorcement, and to put her away.  5  And Jesus answered and said unto them, For the hardness of your heart he wrote you this precept.  6  But from the beginning of the creation God made them male and female.  7  For this cause shall a man leave his father and mother, and cleave to his wife;  8  And they twain shall be one flesh: so then they are no more twain, but one flesh.  9  What therefore God hath joined together, let not man put asunder.  10  And in the house his disciples asked him again of the same matter.  11  And he saith unto them, Whosoever shall put away his wife, and marry another, committeth adultery against her.  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.

1Co 7:10-13  And unto the married I command, yet not I, but the Lord, Let not the wife depart from her husband:  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.  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.  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.