We look at the division of 769672 by 78 
We want to divide 769672 by 78.

Going ahead to step 1:
78 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 78

Going ahead to step 2:
When dividing 76 by 78, we get 0 with a remainder of 76.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Take the next digit (9) from the dividend and append it to 76, then repeat: 769 / 78

Going ahead to step 3:
78 can be fit into 769 9 times, resulting in a remainder of 67.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtract 702 from 769 to get 67.
Fetch the next digit (6) from the dividend, attach it to 67 and continue: 676 / 78

Moving on to step 4:
676 divided by 78 is 8 with a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 98.0
If we subtract 624 from 676, we get 52.
Grab the next digit (7) from the dividend, add it to 52, then carry on: 527 / 78

Let's proceed to step 5:
The number 78 fits into 527 6 times, leaving a remainder of 59.
The number 6 becomes the next digit in our result. 
Result so far: 986.0
Subtract 468 from 527 to get 59.
Include the next digit (2) from the dividend after 59, then repeat: 592 / 78

Let's proceed to step 6:
When dividing 592 by 78, we get 7 with a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 9867.0
If we subtract 546 from 592, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
78 goes into 460 5 times with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 9867.5
The remainder is 70 after subtracting 390 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
700 divided by 78 is 8 with a remainder of 76.
The next digit of our result is 8. 
Result so far: 9867.58
Subtract 624 from 700 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 9:
If we divide 760 by 78, we get 9 and a remainder of 58.
The number 9 becomes the next digit in our result. 
Result so far: 9867.589
If we subtract 702 from 760, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 10:
78 goes into 580 7 times with a remainder of 34.
Write down 7 as next digit of the result. 
Result so far: 9867.5897
If we subtract 546 from 580, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 11:
78 goes into 340 4 times with a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 9867.58974
Subtracting 312 from 340 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 12:
280 divided by 78 is 3 with a remainder of 46.
The next digit of our result is 3. 
Result so far: 9867.589743
If we subtract 234 from 280, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
78 goes into 460 5 times with a remainder of 70.
The next digit of our result is 5. 
Result so far: 9867.5897435
The remainder is 70 after subtracting 390 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 14:
When dividing 700 by 78, we get 8 with a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 9867.58974358
Subtract 624 from 700 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

In conclusion, the division gives 9867.58974358 with a balance of 7.6e-08.