17163 ÷ 5 = 3432 R3
Alright, let's work through the division of 17163 by 5 step by step.

Step 1:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 2:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 15 from 17 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 5

Step 3:
5 goes into 21 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 34
Subtract 20 from 21 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 4:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 343
Subtract 15 from 16 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 5

Step 5:
5 goes into 13 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 3432
Subtract 10 from 13 to get 3.

The final result is 3432 with a remainder of 3.