We're dividing 6519583 by 829 
We want to figure out the number of times 6519583 can be divided by 829.

Going ahead to step 1:
When dividing 6 by 829, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 829

On to step 2:
829 goes into 65 0 times with a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 65, we get 65.
Grab the next digit (1) from the dividend, add it to 65, then carry on: 651 / 829

Moving on to step 3:
829 can be fit into 651 0 times, resulting in a remainder of 651.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 651 and we're left with 651.
Bring next digit (9) of the dividend behind the 651 and repeat the process: 6519 / 829

Moving on to step 4:
The number 829 fits into 6519 7 times, leaving a remainder of 716.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 5803 from 6519, we get 716.
Take the next digit (5) from the dividend and append it to 716, then repeat: 7165 / 829

Going ahead to step 5:
If we divide 7165 by 829, we get 8 and a remainder of 533.
Write down 8 as next digit of the result. 
Result so far: 78.0
If we subtract 6632 from 7165, we get 533.
Include the next digit (8) from the dividend after 533, then repeat: 5338 / 829

Let's proceed to step 6:
If we divide 5338 by 829, we get 6 and a remainder of 364.
Put 6 as the next digit of the answer. 
Result so far: 786.0
Subtract 4974 from 5338 to get 364.
Include the next digit (3) from the dividend after 364, then repeat: 3643 / 829

Moving on to step 7:
When dividing 3643 by 829, we get 4 with a remainder of 327.
Put 4 as the next digit of the answer. 
Result so far: 7864.0
If we subtract 3316 from 3643, we get 327.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3270, and continue the process.

Going ahead to step 8:
When dividing 3270 by 829, we get 3 with a remainder of 783.
Record the quotient 3 as the next digit in the result. 
Result so far: 7864.3
The remainder is 783 after subtracting 2487 from 3270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7830, and continue the process.

Going ahead to step 9:
829 goes into 7830 9 times with a remainder of 369.
Write down 9 as next digit of the result. 
Result so far: 7864.39
If we take 7461 away from 7830, we end up with 369.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3690, and continue the process.

Going ahead to step 10:
When dividing 3690 by 829, we get 4 with a remainder of 374.
Record the quotient 4 as the next digit in the result. 
Result so far: 7864.394
The remainder is 374 after subtracting 3316 from 3690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

Step 11:
3740 divided by 829 is 4 with a remainder of 424.
The next digit of our result is 4. 
Result so far: 7864.3944
Deduct 3316 from 3740 and we're left with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

The quotient of the division is 7864.3944, and the remainder is 0.00424.