89064 ÷ 6 = 14844 R0
Alright, let's work through the division of 89064 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 (9) of the dividend behind the 2 and repeat the process: 29 / 6

Step 2:
6 goes into 29 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 14
Subtract 24 from 29 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Step 3:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 148
Subtract 48 from 50 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 6

Step 4:
6 goes into 26 4 times with a remainder of 2.
Write down 4 as next digit of of the result. 
Result so far: 1484
Subtract 24 from 26 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 6

Step 5:
6 goes into 24 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 14844
Subtract 24 from 24 to get 0.

The final result is 14844 with a remainder of 0.