17021 ÷ 8 = 2127 R5
We're going to perform division on 17021 with 8 as the divisor.

Step 1:
8 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 / 8

Step 2:
8 goes into 17 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 16 from 17 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 8

Step 3:
8 goes into 10 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 8 from 10 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 8

Step 4:
8 goes into 22 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 212
Subtract 16 from 22 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 8

Step 5:
8 goes into 61 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 2127
Subtract 56 from 61 to get 5.

The final result is 2127 with a remainder of 5.