We look at the division of 829409 by 77 
We want to divide 829409 by 77.

On to step 1:
If we divide 8 by 77, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 77

Advancing to step 2:
77 goes into 82 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 77 from 82 to get 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 77

Moving on to step 3:
77 goes into 59 0 times with a remainder of 59.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 59, we end up with 59.
Append the next digit (4) from the dividend to 59 and continue with: 594 / 77

Step 4:
When dividing 594 by 77, we get 7 with a remainder of 55.
Use 7 as the next digit of our solution. 
Result so far: 107.0
Subtracting 539 from 594 leaves us with 55.
Take the next digit (0) from the dividend and append it to 55, then repeat: 550 / 77

On to step 5:
77 goes into 550 7 times with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 1077.0
Deduct 539 from 550 and we're left with 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 77

Let's proceed to step 6:
If we divide 119 by 77, we get 1 and a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 10771.0
If we subtract 77 from 119, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 7:
When dividing 420 by 77, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 10771.5
Subtracting 385 from 420 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
77 can be fit into 350 4 times, resulting in a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 10771.54
Subtract 308 from 350 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 9:
If we divide 420 by 77, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10771.545
The remainder is 35 after subtracting 385 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 10:
The number 77 fits into 350 4 times, leaving a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 10771.5454
The remainder is 42 after subtracting 308 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 11:
When dividing 420 by 77, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 10771.54545
If we subtract 385 from 420, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 12:
When dividing 350 by 77, we get 4 with a remainder of 42.
The number 4 becomes the next digit in our result. 
Result so far: 10771.545454
If we take 308 away from 350, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 13:
If we divide 420 by 77, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 10771.5454545
If we subtract 385 from 420, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 14:
77 can be fit into 350 4 times, resulting in a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 10771.54545454
The remainder is 42 after subtracting 308 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

In conclusion, the division gives 10771.54545454 with a balance of 4.2e-08.