8126 ÷ 7 = 1160 R6
We're going to perform division on 8126 with 7 as the divisor.

Step 1:
7 goes into 8 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 8 to get 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Step 2:
7 goes into 11 1 times with a remainder of 4.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 11 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 7

Step 3:
7 goes into 42 6 times with a remainder of 0.
Write down 6 as next digit of of the result. 
Result so far: 116
Subtract 42 from 42 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: 1160
Subtract 0 from 6 to get 6.

The final result is 1160 with a remainder of 6.