25222 ÷ 6 = 4203 R4
Let's divide 25222 by 6.

Step 1:
6 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 (5) of the dividend behind the 2 and repeat the process: 25 / 6

Step 2:
6 goes into 25 4 times with a remainder of 1.
Write down 4 as next digit of of the result. 
Result so far: 4
Subtract 24 from 25 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 6

Step 3:
6 goes into 12 2 times with a remainder of 0.
Write down 2 as next digit of of the result. 
Result so far: 42
Subtract 12 from 12 to get 0.
Bring next digit (2) of the dividend behind the 0 and repeat the process: 2 / 6

Step 4:
6 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of of the result. 
Result so far: 420
Subtract 0 from 2 to get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 6

Step 5:
6 goes into 22 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 4203
Subtract 18 from 22 to get 4.

The final result is 4203 with a remainder of 4.