jQuery Answer
You will have to setup the starting date for it to increase daily. The idea is to get the date difference and add it to that counter.
HTML
<p class="counter-number">843</p>
jQuery
jQuery(function() {
// Get Starting Number
var starting_number = parseInt(jQuery('.counter-number').text());
// Create Day difference (because it increases by 1 each day)
var preset_start_date = new Date("21/03/2015");
var current_date = new Date();
var timeDiff = Math.abs(current_date.getTime() - preset_start_date.getTime());
var diffDays = Math.ceil(timeDiff / (1000 * 3600 * 24));
var final_counter = starting_number + diffDays;
jQuery('.counter-number').text(final_counter);
});
I haven't tested it. But this is an idea to get that done.