17310 ÷ 7 = 2472 R6
Let's divide 17310 by 7.

Step 1:
7 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 / 7

Step 2:
7 goes into 17 2 times with a remainder of 3.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 14 from 17 to get 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 7

Step 3:
7 goes into 33 4 times with a remainder of 5.
Write down 4 as next digit of of the result. 
Result so far: 24
Subtract 28 from 33 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 7

Step 4:
7 goes into 51 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 247
Subtract 49 from 51 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 7

Step 5:
7 goes into 20 2 times with a remainder of 6.
Write down 2 as next digit of of the result. 
Result so far: 2472
Subtract 14 from 20 to get 6.

The final result is 2472 with a remainder of 6.