Put broccoli, onion, garlic, and broth in the crockpot. Cook on low for 4 hours or high for 2 hours.

In a small pan, melt butter over medium heat. Whisk in flour and cook 1 minute.

Slowly whisk in half-and-half until smooth and slightly thickened.

Stir the cream mixture into the crockpot. Add cheddar and stir until melted and smooth.

Taste and season with salt and pepper. Serve with crusty bread or crackers.