Open a DOS window..

Navigate to your MySQL database folder (normally under Windows.. it's C:/mysql/bin

Type:

mysqldump --opt -uroot -p yourdatabasename > yourdataname.sql

Replace yourdatabasename by the name of your database

It will then prompt you for your root SQL password. Enter it and you will have an SQL dump.

Upload to your remote server. Then create the remote database name if you have the option. Some hosts provide you a database already created.

At the command line.. type

mysql -uusername -p createddatabasename < yourdatabasename.sql

Substitute username for your remote server database username, replace creatededdatabasename with the datbase name provided by your host.

That is a basic overview. If it makes no sense, drop me a PM as you don't want to go publishing database user/passes in public