01 - Heat a splash of oil in a large pot or Dutch oven over medium heat. Add the onion, carrots, and celery, sautéing for 4–5 minutes until softened and fragrant.
02 - Stir in the minced garlic and cook for 1 minute until aromatic, being careful not to burn it.
03 - Add the rinsed split peas, smoked turkey pieces, broth, bay leaf, dried thyme, and black pepper to the pot. Bring the mixture to a boil over high heat.
04 - Reduce heat to low, cover, and simmer for 1 hour, stirring occasionally to prevent sticking. Cook until the split peas are completely tender and the soup has thickened naturally.
05 - Remove the turkey pieces from the soup and set aside until cool enough to handle. Shred the meat from the bones, discarding skin, bones, and cartilage. Return the shredded meat to the pot.
06 - Remove and discard the bay leaf. Taste the soup and adjust salt as needed. If a smoother texture is desired, use an immersion blender to partially puree the soup before returning the shredded turkey.
07 - Ladle the hot soup into bowls and garnish with chopped fresh parsley or croutons if desired. Serve immediately while hot.