We're dividing 5225897 by 631 
Our goal is to divide 5225897 by 631.

Let's proceed to step 1:
If we divide 5 by 631, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 631

Moving on to step 2:
If we divide 52 by 631, we get 0 and a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Include the next digit (2) from the dividend after 52, then repeat: 522 / 631

Advancing to step 3:
522 divided by 631 is 0 with a remainder of 522.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 522, we get 522.
Fetch the next digit (5) from the dividend, attach it to 522 and continue: 5225 / 631

On to step 4:
If we divide 5225 by 631, we get 8 and a remainder of 177.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 5048 from 5225 to get 177.
Append the next digit (8) from the dividend to 177 and continue with: 1778 / 631

Going ahead to step 5:
631 goes into 1778 2 times with a remainder of 516.
Write down 2 as next digit of the result. 
Result so far: 82.0
If we take 1262 away from 1778, we end up with 516.
Include the next digit (9) from the dividend after 516, then repeat: 5169 / 631

On to step 6:
631 goes into 5169 8 times with a remainder of 121.
The number 8 becomes the next digit in our result. 
Result so far: 828.0
The remainder is 121 after subtracting 5048 from 5169.
Include the next digit (7) from the dividend after 121, then repeat: 1217 / 631

Going ahead to step 7:
631 can be fit into 1217 1 times, resulting in a remainder of 586.
The number 1 becomes the next digit in our result. 
Result so far: 8281.0
Deduct 631 from 1217 and we're left with 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Advancing to step 8:
631 can be fit into 5860 9 times, resulting in a remainder of 181.
The next digit of our result is 9. 
Result so far: 8281.9
The remainder is 181 after subtracting 5679 from 5860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Step 9:
631 can be fit into 1810 2 times, resulting in a remainder of 548.
The next digit of our result is 2. 
Result so far: 8281.92
If we subtract 1262 from 1810, we get 548.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

Advancing to step 10:
The number 631 fits into 5480 8 times, leaving a remainder of 432.
The number 8 becomes the next digit in our result. 
Result so far: 8281.928
Deduct 5048 from 5480 and we're left with 432.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4320, and continue the process.

On to step 11:
When dividing 4320 by 631, we get 6 with a remainder of 534.
The next digit of our result is 6. 
Result so far: 8281.9286
The remainder is 534 after subtracting 3786 from 4320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5340, and continue the process.

Moving on to step 12:
631 can be fit into 5340 8 times, resulting in a remainder of 292.
The next digit of our result is 8. 
Result so far: 8281.92868
If we subtract 5048 from 5340, we get 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

Step 13:
If we divide 2920 by 631, we get 4 and a remainder of 396.
Use 4 as the next digit of our solution. 
Result so far: 8281.928684
If we take 2524 away from 2920, we end up with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

On to step 14:
When dividing 3960 by 631, we get 6 with a remainder of 174.
Use 6 as the next digit of our solution. 
Result so far: 8281.9286846
The remainder is 174 after subtracting 3786 from 3960.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Let's proceed to step 15:
If we divide 1740 by 631, we get 2 and a remainder of 478.
Use 2 as the next digit of our solution. 
Result so far: 8281.92868462
Subtract 1262 from 1740 to get 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Our division results in 8281.92868462 with a remaining 4.78e-07.