66405 ÷ 5 = 13281 R0
Alright, let's work through the division of 66405 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 (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 2:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 15 from 16 to get 1.
Bring next digit (4) of the dividend behind the 1 and repeat the process: 14 / 5

Step 3:
5 goes into 14 2 times with a remainder of 4.
Write down 2 as next digit of of the result. 
Result so far: 132
Subtract 10 from 14 to get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 5

Step 4:
5 goes into 40 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 1328
Subtract 40 from 40 to get 0.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 5

Step 5:
5 goes into 5 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 13281
Subtract 5 from 5 to get 0.

The final result is 13281 with a remainder of 0.