We look at the division of 357424 by 25 
Our goal is to divide 357424 by 25.

Advancing to step 1:
If we divide 3 by 25, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 25

Going ahead to step 2:
25 can be fit into 35 1 times, resulting in a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 25 from 35 leaves us with 10.
Grab the next digit (7) from the dividend, add it to 10, then carry on: 107 / 25

Going ahead to step 3:
25 goes into 107 4 times with a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 7 after subtracting 100 from 107.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 25

Step 4:
25 can be fit into 74 2 times, resulting in a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 142.0
Subtracting 50 from 74 leaves us with 24.
Fetch the next digit (2) from the dividend, attach it to 24 and continue: 242 / 25

Let's proceed to step 5:
The number 25 fits into 242 9 times, leaving a remainder of 17.
The next digit of our result is 9. 
Result so far: 1429.0
If we subtract 225 from 242, we get 17.
Grab the next digit (4) from the dividend, add it to 17, then carry on: 174 / 25

Moving on to step 6:
25 can be fit into 174 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 14296.0
Deduct 150 from 174 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
The number 25 fits into 240 9 times, leaving a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 14296.9
If we subtract 225 from 240, 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.

Moving on to step 8:
If we divide 150 by 25, we get 6 and a remainder of 0.
The next digit of our result is 6. 
Result so far: 14296.96
Subtract 150 from 150 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.

Let's proceed 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: 14296.96
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.

Let's proceed to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 14296.96
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.

The final result is 14296.96 with a remainder of 0.0.