17114 ÷ 5 = 3422 R4
Alright, let's work through the division of 17114 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 (1) of the dividend behind the 1 and repeat the process: 11 / 5

Step 4:
5 goes into 11 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 342
Subtract 10 from 11 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 5

Step 5:
5 goes into 14 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 3422
Subtract 10 from 14 to get 4.

The final result is 3422 with a remainder of 4.