div#some_id will scan through all the divs throughout the DOM.
div#some_id
#some_id will pick up the ID directly from the DOM.
#some_id
So which is fast
See Optimize Selectors:
Beginning your selector with an ID is always best.
and
ID-only selections are handled using document.getElementById(), which is extremely fast because it is native to the browser.
So the answer is: $('#some_id') should be faster.