Looks like you have created the database and the user, hopefully you gave this user (u557442447_242) a password which you remember also. You can use the bottom dialog to reset the password for this user (242) if neccessary.
Now, you have to find the file called config-dist.php in your moodle folder. make a copy of that file called config.php. Edit config.php and supply the information needed - database type (mysqli), username, password (from the screen above).
$CFG->dbtype = 'mysqli'; // 'pgsql', 'mysqli', 'mssql', 'sqlsrv' or 'oci'
$CFG->dblibrary = 'native'; // 'native' only at the moment do not change
$CFG->dbhost = 'localhost'; // eg 'localhost' or 'db.isp.com' or IP do not change
$CFG->dbname = 'u557442447_moodle'; // database name, eg moodle
$CFG->dbuser = 'u557442447_242'; // your database username
$CFG->dbpass = 'password'; // your database user password - 242's password)
$CFG->prefix = 'mdl_'; // prefix to use for all table names do not change
While you are there, also change the lines
$CFG->wwwroot = 'http://example.com/moodle'; // your website address with /moodle on the end
$CFG->dataroot = '/home/example/moodledata'; // probably '/home/u557442447/moodledata'
to the website and location of datafiles on your system.
You need to create the moodledata folder on your local installation - you can do it at the same level as public_html. The web root is your public_html folder.
Be careful with the quotes and the semi-colons.
If these instructions are still not understandable, perhaps consider asking someone local who has some knowledge of websites and databases to help you with it.