829909 divided by 71 
Our goal is to divide 829909 by 71.

On to step 1:
If we divide 8 by 71, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 71

Advancing to step 2:
82 divided by 71 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 11 after subtracting 71 from 82.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 71

On to step 3:
71 goes into 119 1 times with a remainder of 48.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Subtracting 71 from 119 leaves us with 48.
Fetch the next digit (9) from the dividend, attach it to 48 and continue: 489 / 71

Advancing to step 4:
71 can be fit into 489 6 times, resulting in a remainder of 63.
The number 6 becomes the next digit in our result. 
Result so far: 116.0
Subtracting 426 from 489 leaves us with 63.
Include the next digit (0) from the dividend after 63, then repeat: 630 / 71

Going ahead to step 5:
630 divided by 71 is 8 with a remainder of 62.
Record the quotient 8 as the next digit in the result. 
Result so far: 1168.0
Subtracting 568 from 630 leaves us with 62.
Include the next digit (9) from the dividend after 62, then repeat: 629 / 71

On to step 6:
71 can be fit into 629 8 times, resulting in a remainder of 61.
Record the quotient 8 as the next digit in the result. 
Result so far: 11688.0
Deduct 568 from 629 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
When dividing 610 by 71, we get 8 with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 11688.8
Deduct 568 from 610 and we're left 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 8:
The number 71 fits into 420 5 times, leaving a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 11688.85
Subtract 355 from 420 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 9:
71 can be fit into 650 9 times, resulting in a remainder of 11.
The next digit of our result is 9. 
Result so far: 11688.859
Subtracting 639 from 650 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.

On to step 10:
The number 71 fits into 110 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 11688.8591
If we subtract 71 from 110, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 11:
71 can be fit into 390 5 times, resulting in a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 11688.85915
Subtracting 355 from 390 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 12:
The number 71 fits into 350 4 times, leaving a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 11688.859154
Subtracting 284 from 350 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 13:
The number 71 fits into 660 9 times, leaving a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 11688.8591549
The remainder is 21 after subtracting 639 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 14:
If we divide 210 by 71, we get 2 and a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 11688.85915492
The remainder is 68 after subtracting 142 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 11688.85915492 and a remainder of 6.8e-08.