How can I remove a package from Laravel using PHP Composer?

What is the correct way to remove a package from Laravel using PHP Composer? So far I've tried: 1. Remove declaration from file *composer.json* (in the "require" section) 2. Remove any *class aliases* from file *app.php* 3. Remove any references to the package from my code :-) 4. Run `composer update` 5. Run `composer dump-autoload` None of these options are working! What am I missing?