7126 ÷ 9 = 791 R7
We're going to perform division on 7126 with 9 as the divisor.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 9

Step 2:
9 goes into 71 7 times with a remainder of 8.
Write down 7 as next digit of of the result. 
Result so far: 7
Subtract 63 from 71 to get 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 9

Step 3:
9 goes into 82 9 times with a remainder of 1.
Write down 9 as next digit of of the result. 
Result so far: 79
Subtract 81 from 82 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 9

Step 4:
9 goes into 16 1 times with a remainder of 7.
Write down 1 as next digit of of the result. 
Result so far: 791
Subtract 9 from 16 to get 7.

The final result is 791 with a remainder of 7.