To create a quotation and answer website using PHP, you could follow these general steps:

1. Plan out the structure and design of your website, including the layout and features you want to include.
2. Set up a web server and database to store the data for your website. You can use a platform like XAMPP or WAMP to set up a local server on your computer, or use a web hosting service to deploy your website online.
3. Create a database schema to define the structure of your data, such as the tables for quotes, authors, and categories.
4. Write PHP code to handle the data and generate the HTML and CSS for your website. You could use a framework like Laravel or CodeIgniter to streamline this process.
5. Create a form for users to submit new quotes or answers, and write code to validate and store the data in the database.
6. Use PHP to retrieve the quotes and answers from the database and display them on the website, along with any associated categories or authors.
7. Add functionality for users to search, sort, and filter the quotes and answers based on various criteria.
8. Test your website thoroughly to ensure it works properly, and deploy it to your chosen hosting environment.

Overall, building a quotation and answer website using PHP requires a solid understanding of web development principles, as well as proficiency in PHP programming and database management.