We look at the division of 509213 by 25 
Our goal is to divide 509213 by 25.

Advancing to step 1:
When dividing 5 by 25, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 25

On to step 2:
25 goes into 50 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 50 from 50 leaves us with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 25

Advancing to step 3:
If we divide 9 by 25, we get 0 and a remainder of 9.
The next digit of our result is 0. 
Result so far: 20.0
If we take 0 away from 9, we end up with 9.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 25

Moving on to step 4:
The number 25 fits into 92 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 203.0
Subtracting 75 from 92 leaves us with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 25

Let's proceed to step 5:
If we divide 171 by 25, we get 6 and a remainder of 21.
Put 6 as the next digit of the answer. 
Result so far: 2036.0
If we subtract 150 from 171, we get 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 25

Moving on to step 6:
213 divided by 25 is 8 with a remainder of 13.
Write down 8 as next digit of the result. 
Result so far: 20368.0
If we take 200 away from 213, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
130 divided by 25 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 20368.5
Subtract 125 from 130 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 8:
The number 25 fits into 50 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 20368.52
If we subtract 50 from 50, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
0 divided by 25 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 20368.52
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 20368.52
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 20368.52 and a remainder of 0.0.