$processor = WP_HTML_Processor::create_fragment( $html );
if ( $processor->next_tag( array( 'breadcrumbs' => array( 'DIV', 'FIGURE', 'IMG' ) ) ) ) {
    $processor->add_class( 'responsive-image' );
}
<br />
<b>Warning</b>:  Cannot modify header information - headers already sent by (output started at /home/klient.dhosting.pl/jdanielak/czarnykapturek.pl/public_html/wp-includes/html-api/class-wp-html-processor.php:1) in <b>/home/klient.dhosting.pl/jdanielak/czarnykapturek.pl/public_html/wp-includes/pluggable.php</b> on line <b>1435</b><br />
<br />
<b>Warning</b>:  Cannot modify header information - headers already sent by (output started at /home/klient.dhosting.pl/jdanielak/czarnykapturek.pl/public_html/wp-includes/html-api/class-wp-html-processor.php:1) in <b>/home/klient.dhosting.pl/jdanielak/czarnykapturek.pl/public_html/wp-includes/pluggable.php</b> on line <b>1438</b><br />