22322 ÷ 7 = 3188 R6
Alright, let's work through the division of 22322 by 7 step by step.

Step 1:
7 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 7

Step 2:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of of the result. 
Result so far: 3
Subtract 21 from 22 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 7

Step 3:
7 goes into 13 1 times with a remainder of 6.
Write down 1 as next digit of of the result. 
Result so far: 31
Subtract 7 from 13 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 4:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 318
Subtract 56 from 62 to get 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 7

Step 5:
7 goes into 62 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 3188
Subtract 56 from 62 to get 6.

The final result is 3188 with a remainder of 6.