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I'm not sure if you are in high school or college, but many schools have counselors that will be able to help you with that process. They have great resources to know who is looking for interns and who may not be actively looking, but still accepts interns.
If you don't have those resources available, LinkedIn is a great resources to use to reach out to professionals in the area. Many time, professionals don't actively look for interns, but are more than willing to let someone come in and help out around the office. Its important to understand that you are not likely going to be paid for this and it is just an opportunity to network and gain experience.