Unable to update core

My wordpress is refusing to update (I changed language and it wants a core update).

I keep running into file permission issues. I already set everything to 777 and still I am getting errors:

Update WordPress
Downloading update from https://downloads.wordpress.org/release/nl_NL/wordpress-3.9.1.zip…

Unpacking the update…

Verifying the unpacked files…

Preparing to install the latest version…

Enabling Maintenance mode…

Copying the required files…

Warning: copy(/home/thewebsite/domains/website.nl/public_html/readme.html) [function.copy]: failed to open stream: Permission denied in /home/thewebsite/domains/website.nl/public_html/wp-admin/includes/class-wp-filesystem-direct.php on line 217

Warning: copy(/home/thewebsite/domains/website.nl/public_html/readme.html) [function.copy]: failed to open stream: Permission denied in /home/thewebsite/domains/website.nl/public_html/wp-admin/includes/class-wp-filesystem-direct.php on line 217

Warning: copy(/home/thewebsite/domains/website.nl/public_html/readme.html) [function.copy]: failed to open stream: Permission denied in /home/thewebsite/domains/website.nl/public_html/wp-admin/includes/class-wp-filesystem-direct.php on line 217

Warning: copy(/home/thewebsite/domains/website.nl/public_html/readme.html) [function.copy]: failed to open stream: Permission denied in /home/thewebsite/domains/website.nl/public_html/wp-admin/includes/class-wp-filesystem-direct.php on line 217
Disabling Maintenance mode…

Could not copy file.: readme.html

Installation Failed

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