9666 ÷ 7 = 1380 R6
We're going to perform division on 9666 with 7 as the divisor.

Step 1:
7 goes into 9 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 9 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 7

Step 2:
7 goes into 26 3 times with a remainder of 5.
Write down 3 as next digit of of the result. 
Result so far: 13
Subtract 21 from 26 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 7

Step 3:
7 goes into 56 8 times with a remainder of 0.
Write down 8 as next digit of of the result. 
Result so far: 138
Subtract 56 from 56 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 7

Step 4:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 1380
Subtract 0 from 6 to get 6.

The final result is 1380 with a remainder of 6.