Heat the coconut oil (or olive oil) in a large pot or Dutch oven over medium heat.
While the oil is warming, chop the onions, carrots and celery. When the oil is warm, add these veggies first.
While the onions, carrots and celery cook, mince the garlic and chop the potato into bite-sized pieces.
When the onions look translucent and are beginning to soften (about 5-8 minutes), add the garlic and potato to the pot.
Give everything a quick stir to release the scent of garlic, then add in your white beans, vegetable broth, pepper and oregano and bring the soup to a simmer.
Once the soup is simmering, reduce the heat to low and cook for about 15-20 minutes, or until the potatoes are tender and a fork slides through them. During this cooking time, pull the kale leaves off of their stems and chop into bite-sized pieces. Discard the stems.
Stir in the chopped kale and let the soup cook for an additional 5 minutes, until the kale is wilted and tender.
Taste the soup and adjust the seasonings, adding salt if necessary.