682679 divided by 71 
Our goal is to divide 682679 by 71.

On to step 1:
If we divide 6 by 71, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 71

Going ahead to step 2:
71 goes into 68 0 times with a remainder of 68.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 68 and we're left with 68.
Include the next digit (2) from the dividend after 68, then repeat: 682 / 71

Let's proceed to step 3:
The number 71 fits into 682 9 times, leaving a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 9.0
If we subtract 639 from 682, we get 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 71

Let's proceed to step 4:
71 goes into 436 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 96.0
Deduct 426 from 436 and we're left with 10.
Fetch the next digit (7) from the dividend, attach it to 10 and continue: 107 / 71

Advancing to step 5:
The number 71 fits into 107 1 times, leaving a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 961.0
Subtract 71 from 107 to get 36.
Take the next digit (9) from the dividend and append it to 36, then repeat: 369 / 71

Moving on to step 6:
369 divided by 71 is 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 9615.0
If we subtract 355 from 369, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 7:
140 divided by 71 is 1 with a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 9615.1
Deduct 71 from 140 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 8:
71 can be fit into 690 9 times, resulting in a remainder of 51.
Record the quotient 9 as the next digit in the result. 
Result so far: 9615.19
If we take 639 away from 690, we end up with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Let's proceed to step 9:
The number 71 fits into 510 7 times, leaving a remainder of 13.
The next digit of our result is 7. 
Result so far: 9615.197
Subtracting 497 from 510 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
If we divide 130 by 71, we get 1 and a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 9615.1971
The remainder is 59 after subtracting 71 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 11:
When dividing 590 by 71, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 9615.19718
Subtracting 568 from 590 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.

Step 12:
The number 71 fits into 220 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 9615.197183
Subtracting 213 from 220 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
70 divided by 71 is 0 with a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 9615.197183
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 14:
700 divided by 71 is 9 with a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 9615.19718309
Deduct 639 from 700 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.

The final outcome is 9615.19718309, with a leftover of 6.1e-08.