Let's divide 437904 by 25
We're looking to find how many times 25 goes into 437904.

Going ahead to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
The next digit of our result is 0. 
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

Step 2:
The number 25 fits into 43 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 25 from 43 to get 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 25

Advancing to step 3:
The number 25 fits into 187 7 times, leaving a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 17.0
Deduct 175 from 187 and we're left with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 25

Step 4:
When dividing 129 by 25, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 175.0
Deduct 125 from 129 and we're left with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 25

Moving on to step 5:
25 can be fit into 40 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1751.0
If we take 25 away from 40, we end up with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 25

Advancing to step 6:
25 goes into 154 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 17516.0
If we subtract 150 from 154, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
25 can be fit into 40 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 17516.1
Subtract 25 from 40 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.

Advancing to step 8:
150 divided by 25 is 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 17516.16
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:
0 divided by 25 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 17516.16
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.

Advancing to step 10:
0 divided by 25 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 17516.16
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.

The final result is 17516.16 with a remainder of 0.0.