Preheat oven to 350 degrees. Spray a 19-inch by 5-inch loaf pan with a non-stick spray. Option: For easy removal, the loaf pan can be lined with parchment paper and sprayed with the non-stick spray. In a large bowl, using a potato masher or a fork, mash together the bananas and yogurt. Set aside.
In another bowl, using a mixer, beat together the butter and sugar until soft and fluffy.
Mix the eggs in one at a time.
Using a spatula, fold the banana mixture and vanilla extract into the sugar mixture together. Set aside.
In a small bowl, mix the flour, baking soda, baking powder, and salt.
Add the flour mixture to the batter and fold together just until combined.
Fold in the strawberries, leave a few behind to top the bread with.
Pour the batter into the prepared pan and top with the remaining strawberries.
Bake for 60-65 minutes, until a toothpick inserted comes out clean. Cool for 10 minutes while still in the pan. Remove to a cooling rack and continue to cool completely before wrapping it for storage.