96567 ÷ 6 = 16094 R3
No problem, we've got 96567 and 6 for the division.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 6

Step 2:
6 goes into 36 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 36 from 36 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 6

Step 3:
6 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of of the result. 
Result so far: 160
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 6

Step 4:
6 goes into 56 9 times with a remainder of 2.
Write down 9 as next digit of of the result. 
Result so far: 1609
Subtract 54 from 56 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 6

Step 5:
6 goes into 27 4 times with a remainder of 3.
Write down 4 as next digit of of the result. 
Result so far: 16094
Subtract 24 from 27 to get 3.

The final result is 16094 with a remainder of 3.