Okay kiddo, let me explain Fourier division in a way that you can easily understand.
Have you ever played with a jigsaw puzzle? It's a game where you have to fit different pieces together to make a beautiful picture.
Similarly, Fourier division is a mathematical puzzle where we take a complicated function (or picture) and divide it into simpler pieces (or building blocks). These building blocks are called Fourier components.
Just like puzzle pieces, Fourier components can be put together to make the original complicated function. In fact, this is how we create complex functions in the first place. We add different Fourier components together to form the desired function.
Now, imagine you have two complicated functions that you want to divide. Using Fourier division, we can break them down into their Fourier components and divide these individual components. Then, we can add the results of these individual division problems back together to get the answer to the original division problem.
So, Fourier division is all about breaking down complicated functions into simpler building blocks (Fourier components), performing division on these blocks, and then putting them back together to get the answer to the original problem.
I hope that makes sense!