65682 ÷ 71 
Our goal is to divide 65682 by 71.

Step 1:
When dividing 6 by 71, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 71

Advancing to step 2:
The number 71 fits into 65 0 times, leaving a remainder of 65.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 65, we end up with 65.
Bring next digit (6) of the dividend behind the 65 and repeat the process: 656 / 71

Advancing to step 3:
656 divided by 71 is 9 with a remainder of 17.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 639 from 656 leaves us with 17.
Bring next digit (8) of the dividend behind the 17 and repeat the process: 178 / 71

Moving on to step 4:
178 divided by 71 is 2 with a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 92.0
If we subtract 142 from 178, we get 36.
Grab the next digit (2) from the dividend, add it to 36, then carry on: 362 / 71

Going ahead to step 5:
When dividing 362 by 71, we get 5 with a remainder of 7.
Use 5 as the next digit of our solution. 
Result so far: 925.0
If we take 355 away from 362, we end up 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.

Let's proceed to step 6:
70 divided by 71 is 0 with a remainder of 70.
Record the quotient 0 as the next digit in the result. 
Result so far: 925.0
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Going ahead to step 7:
700 divided by 71 is 9 with a remainder of 61.
Use 9 as the next digit of our solution. 
Result so far: 925.09
If we subtract 639 from 700, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 8:
If we divide 610 by 71, we get 8 and a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 925.098
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.

Moving on to step 9:
When dividing 420 by 71, we get 5 with a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 925.0985
If we subtract 355 from 420, we 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.

Step 10:
650 divided by 71 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 925.09859
Subtract 639 from 650 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
110 divided by 71 is 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 925.098591
Deduct 71 from 110 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 12:
If we divide 390 by 71, we get 5 and a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 925.0985915
The remainder is 35 after subtracting 355 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
If we divide 350 by 71, we get 4 and a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 925.09859154
Deduct 284 from 350 and we're left 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.

The final outcome is 925.09859154, with a leftover of 6.6e-08.