We're dividing 821755 by 77 
We're looking to find how many times 77 goes into 821755.

On to step 1:
77 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 77

Step 2:
If we divide 82 by 77, we get 1 and a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 77 from 82 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 77

Going ahead to step 3:
If we divide 51 by 77, we get 0 and a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 51 to get 51.
Include the next digit (7) from the dividend after 51, then repeat: 517 / 77

Going ahead to step 4:
If we divide 517 by 77, we get 6 and a remainder of 55.
The next digit of our result is 6. 
Result so far: 106.0
Subtract 462 from 517 to get 55.
Bring next digit (5) of the dividend behind the 55 and repeat the process: 555 / 77

Step 5:
77 goes into 555 7 times with a remainder of 16.
The number 7 becomes the next digit in our result. 
Result so far: 1067.0
Subtract 539 from 555 to get 16.
Grab the next digit (5) from the dividend, add it to 16, then carry on: 165 / 77

On to step 6:
165 divided by 77 is 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 10672.0
The remainder is 11 after subtracting 154 from 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
When dividing 110 by 77, we get 1 with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 10672.1
Deduct 77 from 110 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
330 divided by 77 is 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 10672.14
Subtracting 308 from 330 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 9:
220 divided by 77 is 2 with a remainder of 66.
Write down 2 as next digit of the result. 
Result so far: 10672.142
The remainder is 66 after subtracting 154 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 10:
77 can be fit into 660 8 times, resulting in a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 10672.1428
Subtracting 616 from 660 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 11:
If we divide 440 by 77, we get 5 and a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 10672.14285
If we take 385 away from 440, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 12:
The number 77 fits into 550 7 times, leaving a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 10672.142857
Subtracting 539 from 550 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
77 can be fit into 110 1 times, resulting in a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 10672.1428571
Deduct 77 from 110 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 14:
77 can be fit into 330 4 times, resulting in a remainder of 22.
The next digit of our result is 4. 
Result so far: 10672.14285714
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

In conclusion, the division gives 10672.14285714 with a balance of 2.2e-08.