17038 ÷ 5 = 3407 R3
We're going to perform division on 17038 with 5 as the divisor.

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 (0) of the dividend behind the 2 and repeat the process: 20 / 5

Step 3:
5 goes into 20 4 times with a remainder of 0.
Write down 4 as next digit of of the result. 
Result so far: 34
Subtract 20 from 20 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 5

Step 4:
5 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 340
Subtract 0 from 3 to get 3.
Bring next digit (8) of the dividend behind the 3 and repeat the process: 38 / 5

Step 5:
5 goes into 38 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 3407
Subtract 35 from 38 to get 3.

The final result is 3407 with a remainder of 3.