66601 ÷ 5 = 13320 R1
Alright, let's work through the division of 66601 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 (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 3:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 133
Subtract 15 from 16 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 5

Step 4:
5 goes into 10 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 1332
Subtract 10 from 10 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 5

Step 5:
5 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 13320
Subtract 0 from 1 to get 1.

The final result is 13320 with a remainder of 1.