Unfortunately we don't have a direct way to find the next non sibling element, but we can handle that situation in many ways using jquery functions. I just tried on way to achieve your goal, check out this working fiddle and let me know if you need any clarity, added some inline comments also for your understanding.
HTML:
<div class="page active">div 1</div>
<div class="page">div 2</div>
<div class="set">
<div class="page">set 1 - div 1</div>
<div class="page">set 1 - div 2</div>
<div class="page">set 1 - div 3</div>
</div>
<div class="page">div 5</div>
<div class="set">
<div class="page">set 2 - div 1</div>
<div class="page">set 2 - div 2</div>
</div>
<div class="page">div 6</div>
<button class="next-btn">Next</button>
CSS:
.active {
color: red;
}
.next-btn {
cursor: pointer;
}
Javascript:
$(function() {
$('button').click(function() {
var elem = $(".page.active").toggleClass('active'); // current active element
var nextElem = elem.next(); // next element
// go above one level and get next element
// if no next element exists, means end of the child level
if (!nextElem.length) {
nextElem = elem.parent().next();
}
// if next element has some PAGE children then update the first child element
if (nextElem.children('.page').length > 0 ) {
nextElem.children('.page:first-child').toggleClass('active');
} else if (nextElem.hasClass('page')) {
nextElem.toggleClass('active');
}
});
});
This approach handles the scenario with one child level, you can extend this to multiple levels also with recursive functions, I think this helps you to handle your scenario accordingly.