If Airtable supported Array Indexing, you could something like Split("Instructions")[0] and Split("Instructions)[1]. Since they don't, we have to get a lil crafty. Let's assume your main cell is called "Details".
For the Ingredients, we can find the index of "Instructions" and grab all content before that, by doing
Left(Details, Find("Ingredients"))
Since the cell you're putting that in will probably already be called "Ingredients", we can probably get rid of the "Ingredients" line as well. Formatting is different in the Airtable forum than in your cell, but here it looks like "Ingredients\n\n", the \n's being "linebreak" characters. So you could do this to remove that line:
SUBSTITUTE(LEFT(Details, FIND("Instructions", Details)), "Ingredients\n\n", "")
Now for the latter half, we can do basically the same thing.
SUBSTITUTE(MID(Details, FIND("Instructions", Details), 9999), "Instructions\n\n", "")
This tells the system to grab everything from "Instructions" and on, and also replaces the instructions line with nothing so you get just the good stuff. In the "Ingredients" field you'll find that there are two linebreaks at the end("\n\n"). You could remove this by just finding the index of that instead of Instructions alone, like FIND("\n\nInstructions", Details).
Here's what it looks like:

Wow, this is a beautiful solution! Thank you for this.
One extra question, there are a few paragraph spaces that come in for some reason before the "ingredients" tab. Is there way to also in the same formula eliminate any spaces or extra text that comes in BEFORE Ingredients?
Sorry, or just add a little more context and change my question:
Sometimes I get a text in the cell that looks like this:
Spaghetti with Soy Sauce and Egg Ingredients: - 2 servings of spaghetti - 2 eggs - 1 medium tomato, diced - 1 small onion, diced - 2 tablespoons of soy sauce - Salt and pepper to taste Instructions: 1. Boil the spaghetti according to package instructions. 2. Meanwhile, heat a large skillet over medium heat and add the onion. Cook until softened, stirring frequently, about 4 minutes. 3. Add the diced tomato and cook for an additional 1-2 minutes. 4. Crack the eggs into the pan and scramble until cooked through. 5. Add the cooked spaghetti and soy sauce to the pan. Stir to combine. 6. Add salt and pepper to taste. 7. Serve hot. Enjoy!
How do I separate out the recipe name which comes BEFORE "ingredients". @Cameron_Kaiser