Normally small amount of food particles get stuck between the tooth because there is natural gap between the teeth. Don't use toothpicks ever it increases the gap between the teeth. Do proper flossing twice a day and rinse your mouth with mouth wash or warm saline to dislodge the food particles.
Next Steps
visit the dentist if the gap increases, get scaling done atlst once a year.
Health Tips
stop using toothpicks, do proper flossing and brushing twice a day.