412668 ÷ 25 
We want to divide 412668 by 25.

Advancing to step 1:
25 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 25

Let's proceed to step 2:
25 goes into 41 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 25 from 41, we get 16.
Append the next digit (2) from the dividend to 16 and continue with: 162 / 25

Advancing to step 3:
162 divided by 25 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 16.0
The remainder is 12 after subtracting 150 from 162.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 25

Let's proceed to step 4:
126 divided by 25 is 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we subtract 125 from 126, we get 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 25

Moving on to step 5:
16 divided by 25 is 0 with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 1650.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (8) from the dividend, attach it to 16 and continue: 168 / 25

Moving on to step 6:
25 goes into 168 6 times with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 16506.0
Subtract 150 from 168 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
180 divided by 25 is 7 with a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 16506.7
If we take 175 away from 180, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
25 can be fit into 50 2 times, resulting in a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 16506.72
Deduct 50 from 50 and we're left 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:
When dividing 0 by 25, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 16506.72
Subtracting 0 from 0 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.

On to step 10:
25 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 16506.72
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.

The final result is 16506.72 with a remainder of 0.0.