We look at the division of 416918 by 25 
We're looking to find how many times 25 goes into 416918.

Step 1:
If we divide 4 by 25, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 25

Step 2:
The number 25 fits into 41 1 times, leaving a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 16 after subtracting 25 from 41.
Bring next digit (6) of the dividend behind the 16 and repeat the process: 166 / 25

Let's proceed to step 3:
If we divide 166 by 25, we get 6 and a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 150 from 166 to get 16.
Bring next digit (9) of the dividend behind the 16 and repeat the process: 169 / 25

On to step 4:
25 goes into 169 6 times with a remainder of 19.
Write down 6 as next digit of the result. 
Result so far: 166.0
Deduct 150 from 169 and we're left with 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 25

Moving on to step 5:
When dividing 191 by 25, we get 7 with a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 1667.0
The remainder is 16 after subtracting 175 from 191.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 25

On to step 6:
If we divide 168 by 25, we get 6 and a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 16676.0
The remainder is 18 after subtracting 150 from 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
If we divide 180 by 25, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 16676.7
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.

On to step 8:
When dividing 50 by 25, we get 2 with a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 16676.72
Subtracting 50 from 50 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 9:
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: 16676.72
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 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 16676.72
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.

After the division, we end up with 16676.72 and a remainder of 0.0.