The multiplication of 856 by 717 is 

We have to evaluate the expression $856\times 717$.

Now, the multiplication of 856 by 7 is $856\times 7 = 5992$.

Also, the multiplication of 856 by 10 is $856\times 10=8560$.

At last, the multiplication of 856 by 700 is .$856\times 700 =599200$.

Adding all the values we get, $5992+8560+599200=613752$.

So, the multiplication of 856 by 717 is 613752.

Hence, the correct answer is option B.