Let's divide 437678 by 25
Our goal is to divide 437678 by 25.

Going ahead to step 1:
When dividing 4 by 25, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 25

Let's proceed to step 2:
43 divided by 25 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 25 from 43 to get 18.
Fetch the next digit (7) from the dividend, attach it to 18 and continue: 187 / 25

Advancing to step 3:
25 goes into 187 7 times with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
If we subtract 175 from 187, we get 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 25

Let's proceed to step 4:
When dividing 126 by 25, we get 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 175.0
The remainder is 1 after subtracting 125 from 126.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 25

Step 5:
25 goes into 17 0 times with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 1750.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (8) from the dividend, attach it to 17 and continue: 178 / 25

Advancing to step 6:
178 divided by 25 is 7 with a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 17507.0
If we subtract 175 from 178, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
The number 25 fits into 30 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 17507.1
Subtracting 25 from 30 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 8:
The number 25 fits into 50 2 times, leaving a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 17507.12
The remainder is 0 after subtracting 50 from 50.
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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 17507.12
If we take 0 away from 0, we end up 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:
When dividing 0 by 25, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17507.12
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.

The final result is 17507.12 with a remainder of 0.0.