We look at the division of 434464 by 25 
Our goal is to divide 434464 by 25.

Going ahead to step 1:
25 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 25

Moving on to step 2:
If we divide 43 by 25, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 18 after subtracting 25 from 43.
Take the next digit (4) from the dividend and append it to 18, then repeat: 184 / 25

On to step 3:
When dividing 184 by 25, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtracting 175 from 184 leaves us with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 25

Advancing to step 4:
If we divide 94 by 25, we get 3 and a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 173.0
Deduct 75 from 94 and we're left with 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 25

Advancing to step 5:
When dividing 196 by 25, we get 7 with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 1737.0
Subtract 175 from 196 to get 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 25

Going ahead to step 6:
The number 25 fits into 214 8 times, leaving a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 17378.0
Subtract 200 from 214 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
25 can be fit into 140 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 17378.5
If we take 125 away from 140, we end up with 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 8:
25 can be fit into 150 6 times, resulting in a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 17378.56
Subtracting 150 from 150 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.

Advancing to step 9:
When dividing 0 by 25, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 17378.56
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 10:
25 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17378.56
If we subtract 0 from 0, 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.

Our division results in 17378.56 with a remaining 0.0.