We look at the division of 449566 by 25 
We want to figure out the number of times 449566 can be divided by 25.

On to 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
If we subtract 0 from 4, we get 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 25

Let's proceed to step 2:
25 can be fit into 44 1 times, resulting in a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 25 from 44 to get 19.
Fetch the next digit (9) from the dividend, attach it to 19 and continue: 199 / 25

Advancing to step 3:
If we divide 199 by 25, we get 7 and a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtract 175 from 199 to get 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 25

Step 4:
If we divide 245 by 25, we get 9 and a remainder of 20.
The number 9 becomes the next digit in our result. 
Result so far: 179.0
If we take 225 away from 245, we end up with 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 25

Step 5:
When dividing 206 by 25, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 1798.0
Subtract 200 from 206 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 25

Advancing to step 6:
25 goes into 66 2 times with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 17982.0
The remainder is 16 after subtracting 50 from 66.
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:
25 can be fit into 160 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 17982.6
If we subtract 150 from 160, we 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.

Going ahead to step 8:
If we divide 100 by 25, we get 4 and a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 17982.64
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.

On to step 9:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17982.64
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.

Moving on to step 10:
If we divide 0 by 25, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 17982.64
Deduct 0 from 0 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.

Our division results in 17982.64 with a remaining 0.0.