83164 ÷ 3 = 27721 R1
Alright, let's work through the division of 83164 by 3 step by step.

Step 1:
3 goes into 8 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 6 from 8 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 3

Step 2:
3 goes into 23 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 27
Subtract 21 from 23 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 3

Step 3:
3 goes into 21 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 277
Subtract 21 from 21 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 3

Step 4:
3 goes into 6 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 2772
Subtract 6 from 6 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 3

Step 5:
3 goes into 4 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 27721
Subtract 3 from 4 to get 1.

The final result is 27721 with a remainder of 1.