1605 ÷ 9 = 178 R3
Alright, let's work through the division of 1605 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 (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 2:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 16 to get 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 9

Step 3:
9 goes into 70 7 times with a remainder of 7.
Write down 7 as next digit of of the result. 
Result so far: 17
Subtract 63 from 70 to get 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 9

Step 4:
9 goes into 75 8 times with a remainder of 3.
Write down 8 as next digit of of the result. 
Result so far: 178
Subtract 72 from 75 to get 3.

The final result is 178 with a remainder of 3.