66775 ÷ 5 = 13355 R0
Alright, let's work through the division of 66775 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 (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 3:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 133
Subtract 15 from 17 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Step 4:
5 goes into 27 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 1335
Subtract 25 from 27 to get 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 5

Step 5:
5 goes into 25 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 13355
Subtract 25 from 25 to get 0.

The final result is 13355 with a remainder of 0.