We're dividing 740646 by 25 
Our goal is to divide 740646 by 25.

Advancing to step 1:
The number 25 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 25

On to step 2:
25 can be fit into 74 2 times, resulting in a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 50 from 74, we get 24.
Grab the next digit (0) from the dividend, add it to 24, then carry on: 240 / 25

Going ahead to step 3:
The number 25 fits into 240 9 times, leaving a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 29.0
Subtracting 225 from 240 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 25

Advancing to step 4:
156 divided by 25 is 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 296.0
If we subtract 150 from 156, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 25

Step 5:
If we divide 64 by 25, we get 2 and a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 2962.0
Subtracting 50 from 64 leaves us with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 25

Moving on to step 6:
When dividing 146 by 25, we get 5 with a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 29625.0
If we subtract 125 from 146, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
If we divide 210 by 25, we get 8 and a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 29625.8
Subtracting 200 from 210 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
When dividing 100 by 25, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 29625.84
Subtract 100 from 100 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.

Let's proceed to step 9:
25 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 29625.84
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.

Step 10:
The number 25 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 29625.84
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.

The final result is 29625.84 with a remainder of 0.0.