6009 ÷ 5 = 1201 R4
Alright, let's work through the division of 6009 by 5 step by step.

Step 1:
5 goes into 6 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 6 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 5

Step 2:
5 goes into 10 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 12
Subtract 10 from 10 to get 0.
Bring next digit (0) of the dividend behind the 0 and repeat the process: 0 / 5

Step 3:
5 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 120
Subtract 0 from 0 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 5

Step 4:
5 goes into 9 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 1201
Subtract 5 from 9 to get 4.

The final result is 1201 with a remainder of 4.