If one divorces is it considered adultery to marry again no matter what the circumstances were for this decision? Jesus teaching on marriage said:


  Matthew 19:9 (NKJV)
  9 And I say to you, whoever divorces his wife, except for sexual immorality, and marries another, commits adultery; and whoever marries her who is divorced commits adultery.”


Yet regarding divorce Paul writes says:


  1 Corinthians 7:15 (NKJV)
  15 But if the unbeliever departs, let him depart; a brother or a sister is not under bondage in such cases. But God has called us to peace.


What church doctrines touch on the issue of divorce and take into consideration both of these verses? Specifically, how would each doctrine apply to a case where one partner gets saved after being married?

If there are different interpretations of these text, what would each doctrine say about my case? I was saved after I was married. My husband was not happy with my Christian faith. He decided to file for divorce.

What teachings need to be considered in order to determine whether I am no longer “under bondage” as it states in the 1 Corinthians reference or if I would be committing adultery if I wanted to, at some point, marry again?
An important consideration is the audience to which each of these statements was made.  Jesus was speaking to Jewish people living under the Law of Moses prior to the death, burial and resurrection of Jesus.  Paul, however, was speaking to believers in Jesus Christ, who may have been Jewish, but had a spouse who was not a believer.

From a purely biblical perspective and very strict adherence to biblical standards, a Christian is bound to the marriage vows until they are dissolved, either by death or marital unfaithfulness--whether before or after divorce.

A key thing to note is that once a couple is divorced, the departing spouse commits marital unfaithfulness upon either remarriage or a sexual relationship with a new partner.  At that point, the requirement of marital faithfulness has been met, and the other partner would then be free to remarry.

So, a believing spouse whose partner departs is freed after a divorce when the departing spouse engages in marital unfaithfulness with another partner.

Paul adds the exemption of a departing unbelieving spouse as well.  This condition would not have existed at the time of Jesus' word.  The New Covenant went into effect upon the resurrection of Jesus, which then gave rise to divisions between believing and unbelieving partners.