22504 ÷ 7 = 3214 R6
Alright, let's work through the division of 22504 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 (5) of the dividend behind the 1 and repeat the process: 15 / 7

Step 3:
7 goes into 15 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 32
Subtract 14 from 15 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 7

Step 4:
7 goes into 10 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 321
Subtract 7 from 10 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 7

Step 5:
7 goes into 34 4 times with a remainder of 6.
Write down 4 as next digit of of the result. 
Result so far: 3214
Subtract 28 from 34 to get 6.

The final result is 3214 with a remainder of 6.