9127 ÷ 6 = 1521 R1
We're going to perform division on 9127 with 6 as the divisor.

Step 1:
6 goes into 9 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 6 from 9 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 6

Step 2:
6 goes into 31 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 30 from 31 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 3:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 152
Subtract 12 from 12 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 6

Step 4:
6 goes into 7 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1521
Subtract 6 from 7 to get 1.

The final result is 1521 with a remainder of 1.