First, prepare your flour coating mixture by mixing the flour, dill and salt & pepper together on a plate.
Dredge the halibut through the flour mixture, coating evenly on both sides.
Next, place a frying pan over medium high heat. Let the pan heat up and then drop in the butter to melt.
Once the butter has melted, gently place the fish into the pan to fry. Let the fish cook about 6 minutes, until it develops a good brown crust on the bottom (depending on the heat of your stove and the thickness of the halibut, adjust this time accordingly but flip it before it starts to blacken too much). Flip the fish over to cook on the other side until it is completely cooked through.
Remove the fish from the pan and serve with whatever side you'd like. Try it with our garlicky sautéed mushrooms and asparagus for a perfect meal.