We're dividing 25965241 by 631 
Let's see how many times 631 fits into 25965241.

Going ahead to step 1:
631 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 631

Advancing to step 2:
631 goes into 25 0 times with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 25 leaves us with 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 631

Step 3:
631 goes into 259 0 times with a remainder of 259.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 259 to get 259.
Take the next digit (6) from the dividend and append it to 259, then repeat: 2596 / 631

Advancing to step 4:
2596 divided by 631 is 4 with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 2524 from 2596, we get 72.
Include the next digit (5) from the dividend after 72, then repeat: 725 / 631

On to step 5:
631 goes into 725 1 times with a remainder of 94.
Use 1 as the next digit of our solution. 
Result so far: 41.0
Subtracting 631 from 725 leaves us with 94.
Take the next digit (2) from the dividend and append it to 94, then repeat: 942 / 631

Advancing to step 6:
942 divided by 631 is 1 with a remainder of 311.
The number 1 becomes the next digit in our result. 
Result so far: 411.0
Subtract 631 from 942 to get 311.
Take the next digit (4) from the dividend and append it to 311, then repeat: 3114 / 631

Moving on to step 7:
3114 divided by 631 is 4 with a remainder of 590.
Put 4 as the next digit of the answer. 
Result so far: 4114.0
If we take 2524 away from 3114, we end up with 590.
Bring next digit (1) of the dividend behind the 590 and repeat the process: 5901 / 631

Let's proceed to step 8:
When dividing 5901 by 631, we get 9 with a remainder of 222.
The number 9 becomes the next digit in our result. 
Result so far: 41149.0
If we take 5679 away from 5901, we end up with 222.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2220, and continue the process.

Let's proceed to step 9:
If we divide 2220 by 631, we get 3 and a remainder of 327.
The next digit of our result is 3. 
Result so far: 41149.3
Subtracting 1893 from 2220 leaves us with 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Step 10:
When dividing 3270 by 631, we get 5 with a remainder of 115.
The next digit of our result is 5. 
Result so far: 41149.35
If we take 3155 away from 3270, we end up with 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

On to step 11:
631 goes into 1150 1 times with a remainder of 519.
Write down 1 as next digit of the result. 
Result so far: 41149.351
If we subtract 631 from 1150, we get 519.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5190, and continue the process.

Advancing to step 12:
5190 divided by 631 is 8 with a remainder of 142.
The number 8 becomes the next digit in our result. 
Result so far: 41149.3518
The remainder is 142 after subtracting 5048 from 5190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Moving on to step 13:
631 goes into 1420 2 times with a remainder of 158.
The number 2 becomes the next digit in our result. 
Result so far: 41149.35182
Deduct 1262 from 1420 and we're left with 158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1580, and continue the process.

Step 14:
The number 631 fits into 1580 2 times, leaving a remainder of 318.
The next digit of our result is 2. 
Result so far: 41149.351822
If we subtract 1262 from 1580, we get 318.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3180, and continue the process.

After the division, we end up with 41149.351822 and a remainder of 3.18e-05.