We're dividing 77727348 by 766 
We want to figure out the number of times 77727348 can be divided by 766.

Advancing to step 1:
766 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 766

On to step 2:
766 goes into 77 0 times with a remainder of 77.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Grab the next digit (7) from the dividend, add it to 77, then carry on: 777 / 766

Moving on to step 3:
777 divided by 766 is 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 766 from 777 and we're left with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 766

Let's proceed to step 4:
When dividing 112 by 766, we get 0 with a remainder of 112.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 112, we get 112.
Fetch the next digit (7) from the dividend, attach it to 112 and continue: 1127 / 766

Advancing to step 5:
1127 divided by 766 is 1 with a remainder of 361.
Put 1 as the next digit of the answer. 
Result so far: 101.0
If we take 766 away from 1127, we end up with 361.
Fetch the next digit (3) from the dividend, attach it to 361 and continue: 3613 / 766

Moving on to step 6:
If we divide 3613 by 766, we get 4 and a remainder of 549.
The number 4 becomes the next digit in our result. 
Result so far: 1014.0
If we subtract 3064 from 3613, we get 549.
Append the next digit (4) from the dividend to 549 and continue with: 5494 / 766

Step 7:
The number 766 fits into 5494 7 times, leaving a remainder of 132.
Record the quotient 7 as the next digit in the result. 
Result so far: 10147.0
If we subtract 5362 from 5494, we get 132.
Fetch the next digit (8) from the dividend, attach it to 132 and continue: 1328 / 766

Advancing to step 8:
The number 766 fits into 1328 1 times, leaving a remainder of 562.
Record the quotient 1 as the next digit in the result. 
Result so far: 101471.0
Subtracting 766 from 1328 leaves us with 562.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Moving on to step 9:
766 can be fit into 5620 7 times, resulting in a remainder of 258.
Record the quotient 7 as the next digit in the result. 
Result so far: 101471.7
The remainder is 258 after subtracting 5362 from 5620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Moving on to step 10:
766 can be fit into 2580 3 times, resulting in a remainder of 282.
Write down 3 as next digit of the result. 
Result so far: 101471.73
If we take 2298 away from 2580, we end up with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

Advancing to step 11:
2820 divided by 766 is 3 with a remainder of 522.
Write down 3 as next digit of the result. 
Result so far: 101471.733
If we take 2298 away from 2820, we end up with 522.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5220, and continue the process.

In conclusion, the division gives 101471.733 with a balance of 0.0522.