We divide 513865 by 25
Our goal is to divide 513865 by 25.

Advancing to step 1:
5 divided by 25 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 25

On to step 2:
25 can be fit into 51 2 times, resulting in a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 50 from 51 leaves us with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 25

Let's proceed to step 3:
When dividing 13 by 25, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 20.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 25

Let's proceed to step 4:
If we divide 138 by 25, we get 5 and a remainder of 13.
Write down 5 as next digit of the result. 
Result so far: 205.0
Subtract 125 from 138 to get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 25

Step 5:
136 divided by 25 is 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 2055.0
If we take 125 away from 136, we end up with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 25

Step 6:
The number 25 fits into 115 4 times, leaving a remainder of 15.
Put 4 as the next digit of the answer. 
Result so far: 20554.0
If we subtract 100 from 115, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
150 divided by 25 is 6 with a remainder of 0.
Put 6 as the next digit of the answer. 
Result so far: 20554.6
If we subtract 150 from 150, 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.

Moving on to step 8:
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: 20554.6
The remainder is 0 after subtracting 0 from 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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 20554.6
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 20554.6 with a balance of 0.0.