9657 ÷ 7 = 1379 R4
No problem, we've got 9657 and 7 for the division.

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 (5) of the dividend behind the 5 and repeat the process: 55 / 7

Step 3:
7 goes into 55 7 times with a remainder of 6.
Write down 7 as next digit of of the result. 
Result so far: 137
Subtract 49 from 55 to get 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 7

Step 4:
7 goes into 67 9 times with a remainder of 4.
Write down 9 as next digit of of the result. 
Result so far: 1379
Subtract 63 from 67 to get 4.

The final result is 1379 with a remainder of 4.