19025 ÷ 9 = 2113 R8
Let's divide 19025 by 9.

Step 1:
9 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 1 to get 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 9

Step 2:
9 goes into 19 2 times with a remainder of 1.
Write down 2 as next digit of of the result. 
Result so far: 2
Subtract 18 from 19 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 9

Step 3:
9 goes into 10 1 times with a remainder of 1.
Write down 1 as next digit of of the result. 
Result so far: 21
Subtract 9 from 10 to get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 9

Step 4:
9 goes into 12 1 times with a remainder of 3.
Write down 1 as next digit of of the result. 
Result so far: 211
Subtract 9 from 12 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 9

Step 5:
9 goes into 35 3 times with a remainder of 8.
Write down 3 as next digit of of the result. 
Result so far: 2113
Subtract 27 from 35 to get 8.

The final result is 2113 with a remainder of 8.