413986 ÷ 25 
Our goal is to divide 413986 by 25.

On 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
Subtract 0 from 4 to get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 25

On to step 2:
41 divided by 25 is 1 with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 16 after subtracting 25 from 41.
Take the next digit (3) from the dividend and append it to 16, then repeat: 163 / 25

Advancing to step 3:
When dividing 163 by 25, we get 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 16.0
The remainder is 13 after subtracting 150 from 163.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 25

Let's proceed to step 4:
The number 25 fits into 139 5 times, leaving a remainder of 14.
The next digit of our result is 5. 
Result so far: 165.0
Subtract 125 from 139 to get 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 25

Advancing to step 5:
148 divided by 25 is 5 with a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 1655.0
If we subtract 125 from 148, we get 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 25

Advancing to step 6:
If we divide 236 by 25, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 16559.0
Subtracting 225 from 236 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.

Step 7:
The number 25 fits into 110 4 times, leaving a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 16559.4
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.

Step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Write down 4 as next digit of the result. 
Result so far: 16559.44
Subtracting 100 from 100 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.

After the division, we end up with 16559.44 and a remainder of 0.0.