76122 ÷ 7 = 10874 R4
Alright, let's work through the division of 76122 by 7 step by step.

Step 1:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 7 from 7 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 7

Step 2:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 10
Subtract 0 from 6 to get 6.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 7

Step 3:
7 goes into 61 8 times with a remainder of 5.
Write down 8 as next digit of of the result. 
Result so far: 108
Subtract 56 from 61 to get 5.
Bring next digit (2) of the dividend behind the 5 and repeat the process: 52 / 7

Step 4:
7 goes into 52 7 times with a remainder of 3.
Write down 7 as next digit of of the result. 
Result so far: 1087
Subtract 49 from 52 to get 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 7

Step 5:
7 goes into 32 4 times with a remainder of 4.
Write down 4 as next digit of of the result. 
Result so far: 10874
Subtract 28 from 32 to get 4.

The final result is 10874 with a remainder of 4.