2666 ÷ 4 = 666 R2
No problem, we've got 2666 and 4 for the division.

Step 1:
4 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 2:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 6
Subtract 24 from 26 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 3:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 66
Subtract 24 from 26 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 4

Step 4:
4 goes into 26 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 666
Subtract 24 from 26 to get 2.

The final result is 666 with a remainder of 2.