A quarrel is nothing more than a disagreement!
No matter who you are with there will be times where you (strongly) disagree on an issue. It's "normal".
However ultimately the goal is to choose a mate who shares your same values, wants the same things for the relationship that you do, naturally agrees with you on how to obtain the major things in life, and last but not least there is a mutual love and desire for one another.
If someone is (constantly) fighting with their mate there is a good chance that they chose the "wrong" person for them self. If either of you has to change your (core) being to make a relationship "work" it means you are with the wrong person.
Not many people are looking for someone to "change" them. Most people want to be loved and appreciated for who (they) are. One is better off investing the time to find someone who (already is) the kind of person they want to be with!
There are only two ways to experience joy and peace of mind in relationships: we either get what we want or we learn to be happy with what we have.