We look at the division of 430370 by 25 
We want to figure out the number of times 430370 can be divided by 25.

On to step 1:
4 divided by 25 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 25

Let's proceed to step 2:
When dividing 43 by 25, we get 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 25 from 43, we get 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 25

Advancing to step 3:
When dividing 180 by 25, we get 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we subtract 175 from 180, we get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 25

Advancing to step 4:
25 goes into 53 2 times with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 172.0
Subtracting 50 from 53 leaves us with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 25

Advancing to step 5:
25 goes into 37 1 times with a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1721.0
Deduct 25 from 37 and we're left with 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 25

Let's proceed to step 6:
25 goes into 120 4 times with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 17214.0
If we subtract 100 from 120, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
The number 25 fits into 200 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 17214.8
Deduct 200 from 200 and we're left 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.

Going ahead to step 8:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 17214.8
Deduct 0 from 0 and we're left 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.

Going ahead to step 9:
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: 17214.8
Deduct 0 from 0 and we're left 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.

After the division, we end up with 17214.8 and a remainder of 0.0.