17310 ÷ 6 = 2885 R0
We're going to perform division on 17310 with 6 as the divisor.

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 (3) of the dividend behind the 5 and repeat the process: 53 / 6

Step 3:
6 goes into 53 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 28
Subtract 48 from 53 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 6

Step 4:
6 goes into 51 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 288
Subtract 48 from 51 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 6

Step 5:
6 goes into 30 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 2885
Subtract 30 from 30 to get 0.

The final result is 2885 with a remainder of 0.