9377 ÷ 9 = 1041 R8
We're going to perform division on 9377 with 9 as the divisor.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 9

Step 2:
9 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 9

Step 3:
9 goes into 37 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 104
Subtract 36 from 37 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 9

Step 4:
9 goes into 17 1 times with a remainder of 8.
Write down 1 as next digit of of the result. 
Result so far: 1041
Subtract 9 from 17 to get 8.

The final result is 1041 with a remainder of 8.