17022 ÷ 6 = 2837 R0
Alright, let's work through the division of 17022 by 6 step by step.

Step 1:
6 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 / 6

Step 2:
6 goes into 17 2 times with a remainder of 5.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 12 from 17 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 6

Step 3:
6 goes into 50 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 48 from 50 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 4:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 283
Subtract 18 from 22 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 6

Step 5:
6 goes into 42 7 times with a remainder of 0.
Write down 7 as next digit of of the result. 
Result so far: 2837
Subtract 42 from 42 to get 0.

The final result is 2837 with a remainder of 0.