- Brown sausage over medium heat in a Dutch oven or large, heavy-bottomed pot, breaking it apart into small bits with the edge of a stiff spatula. Remove the sausage to a paper towel-lined plate, leaving 1 teaspoon of fat in the pot. 
- Add the chard to the pot, and toss to coat with remaining fat. Cook for 5 minutes, until chard is well wilted. 
- Pour in olive oil. Grate the garlic onto the chard, sprinkle with salt and pepper, and toss several times to distribute the garlic, and coat the leaves evenly. Cook for 2-3 minutes more, until chard is wilted, and garlic is fragrant. Remove chard to the plate with the sausage. 
- Add beans and broth to the pot, and bring to a simmer over medium heat. Mash beans slightly with a potato masher. 
- When soup is heated, stir in sausage and chard, and serve.