We look at the division of 786471 by 25 
Let's see how many times 25 fits into 786471.

Step 1:
The number 25 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 25

Advancing to step 2:
When dividing 78 by 25, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 3 after subtracting 75 from 78.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 25

Let's proceed to step 3:
25 can be fit into 36 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 31.0
Subtract 25 from 36 to get 11.
Take the next digit (4) from the dividend and append it to 11, then repeat: 114 / 25

Let's proceed to step 4:
25 goes into 114 4 times with a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 314.0
If we subtract 100 from 114, we get 14.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 25

Going ahead to step 5:
25 goes into 147 5 times with a remainder of 22.
Use 5 as the next digit of our solution. 
Result so far: 3145.0
If we take 125 away from 147, we end up with 22.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 25

On to step 6:
221 divided by 25 is 8 with a remainder of 21.
The next digit of our result is 8. 
Result so far: 31458.0
Subtract 200 from 221 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
25 can be fit into 210 8 times, resulting in a remainder of 10.
The next digit of our result is 8. 
Result so far: 31458.8
The remainder is 10 after subtracting 200 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 31458.84
The remainder is 0 after subtracting 100 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 31458.84
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.

Step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 31458.84
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.

The final result is 31458.84 with a remainder of 0.0.