How to move the the_excerpt’s read more link to another div

Remove the read more with this code in your functions.php:

function wpse_230169_excerpt_more($more) {
    return '';
}
add_filter('excerpt_more', 'wpse_230169_excerpt_more');

Then in your template file just add the link wherever you want with:

<a href="https://wordpress.stackexchange.com/questions/230169/<?php the_permalink(); ?>">Read More</a>