43164 ÷ 9 = 4796 R0
Alright, let's work through the division of 43164 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 2:
9 goes into 43 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 36 from 43 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 3:
9 goes into 71 7 times with a remainder of 8.
Write down 7 as next digit of of the result. 
Result so far: 47
Subtract 63 from 71 to get 8.
Bring next digit (6) of the dividend behind the 8 and repeat the process: 86 / 9

Step 4:
9 goes into 86 9 times with a remainder of 5.
Write down 9 as next digit of of the result. 
Result so far: 479
Subtract 81 from 86 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 9

Step 5:
9 goes into 54 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 4796
Subtract 54 from 54 to get 0.

The final result is 4796 with a remainder of 0.