14917 ÷ 9 = 1657 R4
We're going to perform division on 14917 with 9 as the divisor.

Step 1:
9 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 (4) of the dividend behind the 1 and repeat the process: 14 / 9

Step 2:
9 goes into 14 1 times with a remainder of 5.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 14 to get 5.
Bring next digit (9) of the dividend behind the 5 and repeat the process: 59 / 9

Step 3:
9 goes into 59 6 times with a remainder of 5.
Write down 6 as next digit of of the result. 
Result so far: 16
Subtract 54 from 59 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 9

Step 4:
9 goes into 51 5 times with a remainder of 6.
Write down 5 as next digit of of the result. 
Result so far: 165
Subtract 45 from 51 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 9

Step 5:
9 goes into 67 7 times with a remainder of 4.
Write down 7 as next digit of of the result. 
Result so far: 1657
Subtract 63 from 67 to get 4.

The final result is 1657 with a remainder of 4.