We're dividing 815767 by 77 
Let's see how many times 77 fits into 815767.

Let's proceed to step 1:
When dividing 8 by 77, we get 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (1) from the dividend and append it to 8, then repeat: 81 / 77

Advancing to step 2:
The number 77 fits into 81 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 4 after subtracting 77 from 81.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 77

Going ahead to step 3:
If we divide 45 by 77, we get 0 and a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 45 after subtracting 0 from 45.
Grab the next digit (7) from the dividend, add it to 45, then carry on: 457 / 77

Step 4:
The number 77 fits into 457 5 times, leaving a remainder of 72.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 385 away from 457, we end up with 72.
Take the next digit (6) from the dividend and append it to 72, then repeat: 726 / 77

Advancing to step 5:
When dividing 726 by 77, we get 9 with a remainder of 33.
The number 9 becomes the next digit in our result. 
Result so far: 1059.0
Subtract 693 from 726 to get 33.
Include the next digit (7) from the dividend after 33, then repeat: 337 / 77

Let's proceed to step 6:
If we divide 337 by 77, we get 4 and a remainder of 29.
The number 4 becomes the next digit in our result. 
Result so far: 10594.0
Deduct 308 from 337 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 7:
77 can be fit into 290 3 times, resulting in a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 10594.3
Deduct 231 from 290 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 8:
When dividing 590 by 77, we get 7 with a remainder of 51.
The number 7 becomes the next digit in our result. 
Result so far: 10594.37
Subtract 539 from 590 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 9:
77 can be fit into 510 6 times, resulting in a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 10594.376
Subtracting 462 from 510 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
When dividing 480 by 77, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 10594.3766
If we take 462 away from 480, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 10594.3766 with a remainder of 0.00018.