Question: Will being divorced keep you from the celestial kingdom? if not, what if you are divorced and get your temple sealing erased?

Answer: Thanks for the question. Being divorced will not keep a person from the celestial kingdom, however, in order to enter the highest degree of the celestial kingdom, a person will have to be married in the temple. Now having said that, let me explain.
In D&C 131:1-4 the Lord said: “In the celestial glory there are three heavens or degrees; And in order to obtain the highest, a man must enter into this order of the priesthood [meaning the new and everlasting covenant of marriage]; And if he does not, he cannot obtain it. He may enter into the other, but that is the end of his kingdom; he cannot have an increase.” Having been a long-time observer of how the world is making inroads into LDS marriages, I can see that divorce is sometimes a better option than staying in an abusive, dead-end marriage. That statement can actually be backed up by prophetic statements so I am not telling you something that the Church leaders haven’t said.
Now there are two divorces we ought to consider. One is the informal divorce that happens long before the formal one is finalized. No one wakes up one morning after going to bed happily married and informs their spouse that they want to get a divorce. People don’t get divorced because they are having too much fun being married. They face problems which they consider to be too big to resolve and so decide that divorce is a less painful course to take. Very often that is an erroneous conclusion but that is the subject of a different e-mail.
In direct answer to your question, in D&C 54:4-6 the Lord revealed: (even at the risk of being distracting, I am going to give a short commentary following each verse)
4 And as the covenant which they made unto me has been broken, even so it has become void and of none effect. (That is what I described above. When a couple gets married in the temple, they enter into a “trilateral covenant”—husband, wife, and God. If the husband and wife conduct their lives in such a way that God can continue to be part of their relationship, then problems that arise can and will be solved in a way that leaves the marriage stronger rather than weaker. If either the husband or the wife fails to keep the covenants they made in the temple, then in order to signal that their marriage is no longer headed towards the celestial kingdom, God withdraws His Spirit. Since 1 John 4:16 states that “God is Love” and since the presence of God is indicated by the presence of His Spirit, then when the Spirit leaves, love diminishes and eventually ceases to exist unless the couple begins living their covenants again. So in this verse the Lord flatly declares that one or both members of the covenant have ceased to keep their promises and so the marriage that was intended to be eternal is not. Now verse 5 speaks of the offending partner):

5 And wo to him by whom this offense cometh, for it had been better for him that he had been drowned in the depth of the sea. (I don’t know for you, but for me that doesn’t sound much like exaltation. I fear that too many LDS temple married couples view divorce as the first option when the going gets tough. It should be the last option. If both husband and wife would humbly go before the Lord and ask for help in solving their marital challenges, there would be no divorce in the Church. The fact is that one or both of the marriage partners has strayed from the covenants they made and now think they can make a trilateral covenant work bilaterally—it never has worked and it never will work. But walking away from a temple marriage has dire consequences associated with it. However, even if one of the two remaining partners of the trilateral covenant (i.e. wife and God or husband and God) try to make the marriage work, it won’t. You can’t make a trilateral covenant work bilaterally. So what happens to the wife (or husband) who is still trying but their spouse isn’t? That is the subject of verse 6)

6 But blessed are they who have kept the covenant and observed the commandment, for they shall obtain mercy. (The “mercy” that they will obtain is that after a “cancellation of sealing” for the woman or “sealing clearance” for the man—we often call it “temple divorce”—the faithful spouse is free to marry again and be sealed in the temple. If that doesn’t occur in mortality, the fact that they have been faithful through their mortal trials, they will (of their own free will and choice) be able to find a spouse in the Spirit World and then, during the early days of the Millennium, come back to earth and reveal the necessary information to some mortal in a temple (mortals do temple work, immortal, resurrected beings do not), and once the sealing is performed for them, they are off to the highest degree of the celestial kingdom as though they had been married and sealed here on earth.)
Very often (in an emotionally charged state of mind) an offended wife will run to the bishop and demand a “cancellation of sealing” from her ex-temple-married husband. That isn’t granted because the minute the President of the Church grants that cancellation, she no longer has claim upon those blessings. That doesn’t mean she will be with her ex in the next life. As described above, he has already broken the covenant and what lies ahead for him is not pretty. But as long as she is faithful, either in this life or the next, she will receive all the blessings she was promised when she got married—it just won’t be with that first husband. I wish more women understood that. This is where trust in the Lord’s fairness and mercy comes in. Leave your future status in the hands of the One whose “work and glory” is to exalt you (see Moses 1:39). He will perfectly balance the eternal scales of justice before you enter into the Celestial Kingdom .
I hope this points your thinking in the right direction. Keep thinking, praying, and asking the tough questions and watch the revelatory windows of heaven open to you.

Bro. Bott