We look at the division of 631601 by 65 
We're looking to find how many times 65 goes into 631601.

Step 1:
65 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 65

Going ahead to step 2:
If we divide 63 by 65, we get 0 and a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Bring next digit (1) of the dividend behind the 63 and repeat the process: 631 / 65

Let's proceed to step 3:
If we divide 631 by 65, we get 9 and a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Deduct 585 from 631 and we're left with 46.
Include the next digit (6) from the dividend after 46, then repeat: 466 / 65

On to step 4:
466 divided by 65 is 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 97.0
Deduct 455 from 466 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 65

Step 5:
The number 65 fits into 110 1 times, leaving a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 971.0
The remainder is 45 after subtracting 65 from 110.
Grab the next digit (1) from the dividend, add it to 45, then carry on: 451 / 65

Going ahead to step 6:
65 goes into 451 6 times with a remainder of 61.
The number 6 becomes the next digit in our result. 
Result so far: 9716.0
If we take 390 away from 451, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
65 goes into 610 9 times with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 9716.9
Subtracting 585 from 610 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 8:
65 goes into 250 3 times with a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 9716.93
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 9:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 9716.938
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
If we divide 300 by 65, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 9716.9384
If we take 260 away from 300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 11:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 9716.93846
Deduct 390 from 400 and we're left 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.

Step 12:
If we divide 100 by 65, we get 1 and a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 9716.938461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 13:
The number 65 fits into 350 5 times, leaving a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 9716.9384615
If we take 325 away from 350, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 14:
If we divide 250 by 65, we get 3 and a remainder of 55.
Use 3 as the next digit of our solution. 
Result so far: 9716.93846153
Deduct 195 from 250 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The final outcome is 9716.93846153, with a leftover of 5.5e-08.