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You will have a clearer vision for your choices. You will be more serious in choosing a better partner. After a breakup, you will see clearly what you really want, and what to expect from your future partner. You will be more certain and stand for whatever you feel is right for your life, which makes you stronger and more confident.
You will be more aware of yourself. You will be more cautious with your actions. You will know what to do or what to avoid in the next relationship. You will also work it right, like improving yourself, which creates a better you.
You know you have gone through a painful relationship. Therefore, you will know how to deal with the stress and heartbreak if your new relationship fails again. This is especially if your previous relationship is your first love, after the breakup, you will get very upset about it, you will feel miserable, empty, hopeless, etc. nevertheless, when you are able to pick yourself up well and move on with another relationship, you will be a better person in the new relationship.
To recover from a previous failed relationship, you may distract yourself with other commitments, for instance, you may work harder than before, you would get counselling sessions, or you would be more focused on religion. These help build your self-confidence and make you stronger. Perhaps you will get better job offers, you will share your stories to help others who seek help in relationships, or you improve yourself spiritually, which helps you to maintain a healthy mental, emotional balance.