6666 ÷ 5 = 1333 R1
We're going to perform division on 6666 with 5 as the divisor.

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 (6) of the dividend behind the 1 and repeat the process: 16 / 5

Step 4:
5 goes into 16 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 1333
Subtract 15 from 16 to get 1.

The final result is 1333 with a remainder of 1.