The keyword you have to emphasize in this situation is "previous marriage."

Regardless of your situation with your ex-significant-other, you're in a new marriage now, and you have every right to ask people in your life to accept that.

Here are 4 concerns you may have after a second marriage and how to deal with them:

1. Business Concerns

Depending on the kind of deal your divorce lawyer got you in the dissolution of your previous marriage, there might be some issues with shared or partial assets.

For instance, say you and your previous spouse started a business, and now have legal partnership in it. Does your current spouse have rights to a claim in that business as well? Can you leave control of that business to your current spouse in your will? These are sticky areas where a legal professional can help protect you.

2. Children's Concerns

A major point of contention after a new marriage is children from a previous marriage.

If you have joint or partial custody, this opens the way for your former spouse to raise concerns or objections to your current living arrangements. Hopefully your divorce was an amicable one, and your ex-spouse understands. If not, a legal expert can help sort out new custody agreements.

Children will need to be gradually introduced to the idea that you, their parent, now have a new partner. But you should be careful not to force the new partner on the kids. They shouldn't feel like they have to accept your new spouse as their new mommy or daddy, and your new spouse should likewise be clear about where they stand in regard to your children.

3. Old Partner Concerns

Ideally, all parties should have open communication to talk about their concerns. Of course, if you had such a great communication with your former spouse, you probably wouldn't be divorced in the first place.

Keep them informed of what may affect them, and don't provide them too much information if it makes you feel uncomfortable.

In the case of a toxic former spouse, it's usually best to just keep them at arm's length from the situation.

4. New Partner Concerns

Watch out for family tensions causing stress for your new partner. They might feel marginalized, pushed aside, unwelcome, or like they only get part of your attention.

Be sure to make time for you and your new spouse alone together. You might want to err on the side of spoiling them for a while, since baggage from previous relationships takes such a toll on present marriages.

Second marriages where one or both parties have previous relationships are never easy. Resolve that you're not giving up on any of the people you care about, and let the other parties concerned know that. It's all up to you to make everything work out in the end.