If you just want to test a "Hello, World!" program or solve a quick algorithm without installing anything, use an online compiler.
To provide a "solid write-up," I need to know which you are referring to, as the access methods differ wildly depending on the context.
The quickest way to start without installing software is through a web-based IDE. These platforms allow you to write, compile, and run C code directly in your browser.
You will see old tutorials mentioning "Turbo C++" or "Turbo C". It is a 30-year-old compiler that teaches you bad habits and won't run on modern Windows 11. Stick to GCC or Clang.
A popular choice for beginners that includes a built-in debugger to help find errors.