81460 ÷ 6 = 13576 R4
Alright, let's work through the division of 81460 by 6 step by step.

Step 1:
6 goes into 8 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 8 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 2:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 18 from 21 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 3:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 135
Subtract 30 from 34 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 6

Step 4:
6 goes into 46 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 1357
Subtract 42 from 46 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 5:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 13576
Subtract 36 from 40 to get 4.

The final result is 13576 with a remainder of 4.