11660 ÷ 3 = 3886 R2
Alright, let's work through the division of 11660 by 3 step by step.

Step 1:
3 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 3

Step 2:
3 goes into 11 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 9 from 11 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Step 3:
3 goes into 26 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 38
Subtract 24 from 26 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 3

Step 4:
3 goes into 26 8 times with a remainder of 2.
Write down 8 as next digit of of the result. 
Result so far: 388
Subtract 24 from 26 to get 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 3

Step 5:
3 goes into 20 6 times with a remainder of 2.
Write down 6 as next digit of of the result. 
Result so far: 3886
Subtract 18 from 20 to get 2.

The final result is 3886 with a remainder of 2.