We're dividing 412866 by 25 
We want to figure out the number of times 412866 can be divided by 25.

On to step 1:
4 divided by 25 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 25

Let's proceed to step 2:
41 divided by 25 is 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 25 from 41 and we're left with 16.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 25

Moving on to step 3:
162 divided by 25 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 150 from 162 to get 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 25

Step 4:
25 can be fit into 128 5 times, resulting in a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 165.0
Subtract 125 from 128 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 25

Moving on to step 5:
When dividing 36 by 25, we get 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1651.0
The remainder is 11 after subtracting 25 from 36.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 25

Advancing to step 6:
116 divided by 25 is 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 16514.0
Subtract 100 from 116 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
25 can be fit into 160 6 times, resulting in a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 16514.6
Deduct 150 from 160 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to 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: 16514.64
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.

Moving on to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 16514.64
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.

On 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: 16514.64
Subtract 0 from 0 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.

The quotient of the division is 16514.64, and the remainder is 0.0.