We look at the division of 631565 by 78 
Let's see how many times 78 fits into 631565.

Going ahead to step 1:
If we divide 6 by 78, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 78

On to step 2:
If we divide 63 by 78, we get 0 and a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Include the next digit (1) from the dividend after 63, then repeat: 631 / 78

Going ahead to step 3:
When dividing 631 by 78, we get 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 8.0
If we take 624 away from 631, we end up with 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 78

Moving on to step 4:
The number 78 fits into 75 0 times, leaving a remainder of 75.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
The remainder is 75 after subtracting 0 from 75.
Append the next digit (6) from the dividend to 75 and continue with: 756 / 78

Moving on to step 5:
78 can be fit into 756 9 times, resulting in a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 809.0
The remainder is 54 after subtracting 702 from 756.
Include the next digit (5) from the dividend after 54, then repeat: 545 / 78

Advancing to step 6:
78 goes into 545 6 times with a remainder of 77.
Record the quotient 6 as the next digit in the result. 
Result so far: 8096.0
If we subtract 468 from 545, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 7:
78 can be fit into 770 9 times, resulting in a remainder of 68.
Put 9 as the next digit of the answer. 
Result so far: 8096.9
If we take 702 away from 770, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 8:
78 goes into 680 8 times with a remainder of 56.
The number 8 becomes the next digit in our result. 
Result so far: 8096.98
The remainder is 56 after subtracting 624 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 9:
560 divided by 78 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 8096.987
Deduct 546 from 560 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
If we divide 140 by 78, we get 1 and a remainder of 62.
The number 1 becomes the next digit in our result. 
Result so far: 8096.9871
If we take 78 away from 140, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 11:
The number 78 fits into 620 7 times, leaving a remainder of 74.
Write down 7 as next digit of the result. 
Result so far: 8096.98717
Subtract 546 from 620 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 12:
When dividing 740 by 78, we get 9 with a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 8096.987179
If we take 702 away from 740, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
380 divided by 78 is 4 with a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 8096.9871794
If we subtract 312 from 380, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 14:
680 divided by 78 is 8 with a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8096.98717948
The remainder is 56 after subtracting 624 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 8096.98717948 with a balance of 5.6e-08.