We look at the division of 4359 by 25 
We're looking to find how many times 25 goes into 4359.

Going ahead to step 1:
25 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 25

Going ahead to step 2:
25 goes into 43 1 times with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 25 from 43 to get 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 25

Let's proceed to step 3:
25 goes into 185 7 times with a remainder of 10.
Write down 7 as next digit of the result. 
Result so far: 17.0
If we take 175 away from 185, we end up with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 25

Let's proceed to step 4:
25 can be fit into 109 4 times, resulting in a remainder of 9.
Write down 4 as next digit of the result. 
Result so far: 174.0
If we subtract 100 from 109, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 5:
When dividing 90 by 25, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 174.3
Subtract 75 from 90 to 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.

Going ahead to step 6:
25 goes into 150 6 times with a remainder of 0.
Write down 6 as next digit of the result. 
Result so far: 174.36
The remainder is 0 after subtracting 150 from 150.
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 7:
25 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 174.36
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 8:
0 divided by 25 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 174.36
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.

Our division results in 174.36 with a remaining 0.0.