77226 ÷ 7 = 11032 R2
Alright, let's work through the division of 77226 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 (7) of the dividend behind the 0 and repeat the process: 7 / 7

Step 2:
7 goes into 7 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 7 from 7 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 7

Step 3:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 110
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 4:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 1103
Subtract 21 from 22 to get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 7

Step 5:
7 goes into 16 2 times with a remainder of 2.
Write down 2 as next digit of of the result. 
Result so far: 11032
Subtract 14 from 16 to get 2.

The final result is 11032 with a remainder of 2.