During the teething process, owners should aim to brush their puppy's teeth several times a week, ideally every other day. This helps maintain oral hygiene and introduces the puppy to a regular dental care routine early on. Use a puppy-specific toothbrush and toothpaste to gently clean the teeth and gums, focusing on areas where plaque can build up. Regular brushing helps alleviate discomfort associated with teething and reduces the risk of dental issues as adult teeth emerge. Always consult with a veterinarian for personalized recommendations and proper techniques.