How to publish Laravel projects in shared hosting like Siteground?

i have some problem redirecting users to Laravel public directory from the root of the project. i created the following .htaccess file at the Laravel root directory to redirect requests to the public directory, i want to conform that is this the correct way to do it ?

.htaccess

<IfModule mod_rewrite.c>
    <IfModule mod_negotiation.c>
        Options -MultiViews -Indexes
    </IfModule>

    RewriteEngine On

    # Handle Authorization Header
    RewriteCond %{HTTP:Authorization} .
    RewriteRule .* - [E=HTTP_AUTHORIZATION:%{HTTP:Authorization}]

    # Handle X-XSRF-Token Header
    RewriteCond %{HTTP:x-xsrf-token} .
    RewriteRule .* - [E=HTTP_X_XSRF_TOKEN:%{HTTP:X-XSRF-Token}]

    # Redirect Trailing Slashes If Not A Folder...
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteCond %{REQUEST_URI} (.+)/$
    RewriteRule ^ %1 [L,R=301]

    # Send Requests To Front Controller...
    RewriteCond %{REQUEST_FILENAME} !-d
    RewriteCond %{REQUEST_FILENAME} !-f
    RewriteRule ^ index.php [L]
    RewriteRule ^ public/index.php [QSA,L]
</IfModule>

thanks.