We're dividing 644307 by 25 
We want to figure out the number of times 644307 can be divided by 25.

Moving on to step 1:
If we divide 6 by 25, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 25

Advancing to step 2:
The number 25 fits into 64 2 times, leaving a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 50 away from 64, we end up with 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 25

Step 3:
144 divided by 25 is 5 with a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtract 125 from 144 to get 19.
Append the next digit (3) from the dividend to 19 and continue with: 193 / 25

Going ahead to step 4:
25 can be fit into 193 7 times, resulting in a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 257.0
Deduct 175 from 193 and we're left with 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 25

Advancing to step 5:
25 can be fit into 180 7 times, resulting in a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 2577.0
The remainder is 5 after subtracting 175 from 180.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 25

Advancing to step 6:
25 can be fit into 57 2 times, resulting in a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 25772.0
If we subtract 50 from 57, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 7:
25 can be fit into 70 2 times, resulting in a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 25772.2
If we take 50 away from 70, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
The number 25 fits into 200 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 25772.28
Subtracting 200 from 200 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:
If we divide 0 by 25, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 25772.28
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.

On to step 10:
0 divided by 25 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 25772.28
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.

The quotient of the division is 25772.28, and the remainder is 0.0.