60407 ÷ 6 = 10067 R5
Alright, let's work through the division of 60407 by 6 step by step.

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

Step 2:
6 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 0 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 6

Step 3:
6 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 100
Subtract 0 from 4 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 6

Step 4:
6 goes into 40 6 times with a remainder of 4.
Write down 6 as next digit of of the result. 
Result so far: 1006
Subtract 36 from 40 to get 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 6

Step 5:
6 goes into 47 7 times with a remainder of 5.
Write down 7 as next digit of of the result. 
Result so far: 10067
Subtract 42 from 47 to get 5.

The final result is 10067 with a remainder of 5.