391886 ÷ 25 
Our goal is to divide 391886 by 25.

Advancing to step 1:
25 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (9) from the dividend after 3, then repeat: 39 / 25

Advancing to step 2:
25 goes into 39 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 25 from 39 leaves us with 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 25

Advancing to step 3:
When dividing 141 by 25, we get 5 with a remainder of 16.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 125 from 141 and we're left with 16.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 25

Going ahead to step 4:
25 can be fit into 168 6 times, resulting in a remainder of 18.
The next digit of our result is 6. 
Result so far: 156.0
If we take 150 away from 168, we end up with 18.
Grab the next digit (8) from the dividend, add it to 18, then carry on: 188 / 25

Let's proceed to step 5:
If we divide 188 by 25, we get 7 and a remainder of 13.
Record the quotient 7 as the next digit in the result. 
Result so far: 1567.0
The remainder is 13 after subtracting 175 from 188.
Append the next digit (6) from the dividend to 13 and continue with: 136 / 25

Let's proceed to step 6:
The number 25 fits into 136 5 times, leaving a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 15675.0
Subtracting 125 from 136 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
110 divided by 25 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 15675.4
Subtract 100 from 110 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 15675.44
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.

The final result is 15675.44 with a remainder of 0.0.