17538 ÷ 9 = 1948 R6
Alright, let's work through the division of 17538 by 9 step by step.

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 (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 2:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 17 to get 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 9

Step 3:
9 goes into 85 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 19
Subtract 81 from 85 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 9

Step 4:
9 goes into 43 4 times with a remainder of 7.
Write down 4 as next digit of of the result. 
Result so far: 194
Subtract 36 from 43 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 9

Step 5:
9 goes into 78 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 1948
Subtract 72 from 78 to get 6.

The final result is 1948 with a remainder of 6.