Slice the cabbage in half to create 2 portions. Slice the core/stem out of both.
Slice in half again, and then into smaller strips.
Place a Dutch oven or large pot on medium-high heat and add butter.
Cook sliced sausage for 3-4 minutes until both sides are cooked through. Add the garlic and stir.
Stir in cabbage.
Cover the pot and reduce the heat to low. Cook for 15-30 minutes.
Open the pot. Season with salt and pepper. Taste repeatedly and adjust as necessary. Serve when cool.