We look at the division of 769167 by 78 
We're looking to find how many times 78 goes into 769167.

Step 1:
If we divide 7 by 78, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 78

Step 2:
When dividing 76 by 78, we get 0 with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Append the next digit (9) from the dividend to 76 and continue with: 769 / 78

Let's proceed to step 3:
The number 78 fits into 769 9 times, leaving a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 702 from 769 and we're left with 67.
Grab the next digit (1) from the dividend, add it to 67, then carry on: 671 / 78

On to step 4:
78 can be fit into 671 8 times, resulting in a remainder of 47.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Subtract 624 from 671 to get 47.
Bring next digit (6) of the dividend behind the 47 and repeat the process: 476 / 78

On to step 5:
The number 78 fits into 476 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 986.0
The remainder is 8 after subtracting 468 from 476.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 78

Step 6:
When dividing 87 by 78, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 9861.0
Subtracting 78 from 87 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
78 can be fit into 90 1 times, resulting in a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 9861.1
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
The number 78 fits into 120 1 times, leaving a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 9861.11
If we take 78 away from 120, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 9861.11 with a remainder of 0.042.