6045 ÷ 9 = 671 R6
Alright, let's work through the division of 6045 by 9 step by step.

Step 1:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 6 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Step 2:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 54 from 60 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Step 3:
9 goes into 64 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 67
Subtract 63 from 64 to get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 9

Step 4:
9 goes into 15 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 671
Subtract 9 from 15 to get 6.

The final result is 671 with a remainder of 6.