We're dividing 412866 by 25 
We're looking to find how many times 25 goes into 412866.

Advancing to step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 25

Advancing to step 2:
If we divide 41 by 25, we get 1 and a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 25 from 41 and we're left with 16.
Take the next digit (2) from the dividend and append it to 16, then repeat: 162 / 25

Advancing to step 3:
25 goes into 162 6 times with a remainder of 12.
The next digit of our result is 6. 
Result so far: 16.0
Subtract 150 from 162 to get 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 25

Moving on to step 4:
The number 25 fits into 128 5 times, leaving a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we take 125 away from 128, we end up with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 25

On to step 5:
25 can be fit into 36 1 times, resulting in a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1651.0
If we subtract 25 from 36, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 25

Step 6:
The number 25 fits into 116 4 times, leaving a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 16514.0
If we subtract 100 from 116, we 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.

On to step 7:
The number 25 fits into 160 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 16514.6
Subtract 150 from 160 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:
25 goes into 100 4 times with a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 16514.64
Subtract 100 from 100 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.

Advancing to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16514.64
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.

Moving on to step 10:
When dividing 0 by 25, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
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.

The final result is 16514.64 with a remainder of 0.0.