We're dividing 786722 by 77 
We want to divide 786722 by 77.

Let's proceed to step 1:
The number 77 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 77

Going ahead to step 2:
78 divided by 77 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 77 away from 78, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 77

Advancing to step 3:
77 goes into 16 0 times with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 16, we get 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 77

On to step 4:
77 goes into 167 2 times with a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 102.0
Subtracting 154 from 167 leaves us with 13.
Include the next digit (2) from the dividend after 13, then repeat: 132 / 77

Going ahead to step 5:
132 divided by 77 is 1 with a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 1021.0
Deduct 77 from 132 and we're left with 55.
Grab the next digit (2) from the dividend, add it to 55, then carry on: 552 / 77

Let's proceed to step 6:
If we divide 552 by 77, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 10217.0
If we take 539 away from 552, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 7:
If we divide 130 by 77, we get 1 and a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 10217.1
If we subtract 77 from 130, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 8:
When dividing 530 by 77, we get 6 with a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 10217.16
The remainder is 68 after subtracting 462 from 530.
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 9:
If we divide 680 by 77, we get 8 and a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 10217.168
Deduct 616 from 680 and we're left 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.

Moving on to step 10:
77 goes into 640 8 times with a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 10217.1688
Subtract 616 from 640 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

In conclusion, the division gives 10217.1688 with a balance of 0.00024.