Splitting to 4 hands of A,X

I recently witnessed a player who was dealt two aces which were then split and hit into four hands of A,X. It was pretty remarkable. What is the probability of this occurrence? Assume 6 decks and a fresh shoe.

My guess is 24/312 * 23/311 * 22/310 * 21/309 * 96/308 * 95/307 * 94/306 * 93/305 * (5 ways to order this) = 0.000001239

The 5 ways to order the cards drawn so that it works out are:
AAAAXXXX
AAAXAXXX
AAAXXAXX
AAXAAXXX
AAXAXAXX

Is this correct or did I miss something? Thanks!