1. Download and unzip the WordPress package from http://wordpress.org/download/.
2. Create a database and a user for that database. How you do this will depend on your host, and what control panel (if any) they use. If you're not sure how to create the database, contact your hosting provider.
3. Prepare wp-config.php:
   • Open wp-config-sample.php in your text editor.
   • Edit the file to reflect your database details. You will find them under the section labelled // ** MySQL settings - You can get this info from your web host ** //
   • Typically the only required information for the database details are the host, name, user, and password.
   • Go to https://api.wordpress.org/secret-key/1.1/ and copy what is shown on the screen. You will need to paste this under the section labelled * Authentication Unique Keys. (replace what is already there).
   • Finally, save the file - then rename it to wp-config.php
4. Upload the files to your webhost, the domain/folder where you plan on running WordPress. Most people install WordPress to their root folder of the hosted domain (most setups use a filesystem similar to /home/yourusername/yourdomainname.com/public_html). If you're not sure where on your host you should upload the files, contact your hosting provider.
5. Now you will need to run WordPress' install script. Go to http://yourdomainname.com/wp-admin/install.php (or, if you uploaded to yourdomainname.com/blog - go to http://yourdomainname.com/blog/wp-admin/install.php
6. The install script will guide you through the rest of the process with onscreen instructions.

Once the installer finishes, you're done! :) Be sure to save your password somewhere so you can login to WordPress' admin area. That's all on the Installation of WordPress.

Enjoy your new blog!