Let's divide 765679 by 77
Our goal is to divide 765679 by 77.

Let's proceed to step 1:
When dividing 7 by 77, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 77

Advancing to step 2:
If we divide 76 by 77, we get 0 and a remainder of 76.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 76 after subtracting 0 from 76.
Append the next digit (5) from the dividend to 76 and continue with: 765 / 77

Moving on to step 3:
When dividing 765 by 77, we get 9 with a remainder of 72.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Subtract 693 from 765 to get 72.
Append the next digit (6) from the dividend to 72 and continue with: 726 / 77

Going ahead to step 4:
When dividing 726 by 77, we get 9 with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 99.0
Subtracting 693 from 726 leaves us with 33.
Take the next digit (7) from the dividend and append it to 33, then repeat: 337 / 77

On to step 5:
337 divided by 77 is 4 with a remainder of 29.
Put 4 as the next digit of the answer. 
Result so far: 994.0
Deduct 308 from 337 and we're left with 29.
Fetch the next digit (9) from the dividend, attach it to 29 and continue: 299 / 77

Let's proceed to step 6:
When dividing 299 by 77, we get 3 with a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 9943.0
Deduct 231 from 299 and we're left 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.

Moving on to step 7:
77 can be fit into 680 8 times, resulting in a remainder of 64.
Put 8 as the next digit of the answer. 
Result so far: 9943.8
If we take 616 away from 680, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 8:
When dividing 640 by 77, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 9943.88
If we take 616 away from 640, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final outcome is 9943.88, with a leftover of 0.024.