Good news… you don’t! Once the fire is out and cools, you just sweep out the ashes or vacuum and it’s ready for the next time! If you vacuum, make sure to use a vacuum made for ashes or you'll have a bigger mess outside the oven!
If you have food that's fallen on the oven floor, it's best to let it burn off before letting the fire die out. If not, you can use a brush to remove it or just burn it off the next time you build a fire in your oven.