We look at the division of 414910 by 25 
We want to divide 414910 by 25.

Going ahead to step 1:
4 divided by 25 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 25

Let's proceed to step 2:
If we divide 41 by 25, we get 1 and a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 25 from 41, we get 16.
Append the next digit (4) from the dividend to 16 and continue with: 164 / 25

Advancing to step 3:
When dividing 164 by 25, we get 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we subtract 150 from 164, we get 14.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 25

Advancing to step 4:
149 divided by 25 is 5 with a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we subtract 125 from 149, we get 24.
Bring next digit (1) of the dividend behind the 24 and repeat the process: 241 / 25

Advancing to step 5:
25 goes into 241 9 times with a remainder of 16.
Record the quotient 9 as the next digit in the result. 
Result so far: 1659.0
Deduct 225 from 241 and we're left with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 25

Let's proceed to step 6:
If we divide 160 by 25, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 16596.0
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.

Let's proceed to step 7:
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: 16596.4
If we take 100 away from 100, 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.

Let's proceed to step 8:
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: 16596.4
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 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16596.4
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.

Our division results in 16596.4 with a remaining 0.0.