Using jQuery, how do you find only visible elements and leave hidden elements alone?

You can use the :visible selector to find only visible.

$(".someDiv:visible").each(....);

You can use the .not() selector to find only hidden.

$(".someDiv").not(":visible").each(....);

I think you can perform the same operation in your code with this one line.

$(".someDiv").hide().find(".regular").show();

Find all .someDiv and hide them, then find those with a .regular class and show them.