If using a flank steak, cut it in half lengthwise, saving one half for another use. Then, thinly slice the flank or outside skirt steak against the grain. For the most tender skirt steak, cut at a 45 degree angle across the grain. Flank steak can be cut directly across the grain at a 90 degree angle.
Bring a large stock pot of generously salted water to a boil. Add the pasta and cook for approximately 7 minutes (adjust based on the cooking time for pasta you are using). Add the broccoli in the last 3 minutes of cooking time. Drain and portion into bowls for serving. *NOTE: Drizzle the pasta and broccoli with a bit of sesame oil and soy sauce to prevent it from sticking and leave it covered in the pot if it will be a few minutes before you are ready to eat.
Heat a large skillet to medium heat and add 2 tablespoons of sesame oil. Once warmed through add the garlic and ginger. Let cook until softened and edges begin to brown then add the steak. Turn the heat up to medium high or high. Stir to coat the steak in the seasoned oil. Add the scallions and continue to stir to combine well.
When the steak is cooked to your liking, portion out the steak mixture on top of the pasta and broccoli. Remove the large pieces of ginger as you plate the meal, they won’t hurt you, but also won’t be great to bite into.