We look at the division of 71384 by 82 
We want to figure out the number of times 71384 can be divided by 82.

Going ahead to step 1:
82 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 82

Let's proceed to step 2:
If we divide 71 by 82, we get 0 and a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 71, we get 71.
Grab the next digit (3) from the dividend, add it to 71, then carry on: 713 / 82

Step 3:
713 divided by 82 is 8 with a remainder of 57.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 656 from 713, we get 57.
Bring next digit (8) of the dividend behind the 57 and repeat the process: 578 / 82

Step 4:
When dividing 578 by 82, we get 7 with a remainder of 4.
Use 7 as the next digit of our solution. 
Result so far: 87.0
If we subtract 574 from 578, we get 4.
Append the next digit (4) from the dividend to 4 and continue with: 44 / 82

Step 5:
When dividing 44 by 82, we get 0 with a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 870.0
If we take 0 away from 44, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 6:
If we divide 440 by 82, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 870.5
Subtracting 410 from 440 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
When dividing 300 by 82, we get 3 with a remainder of 54.
Use 3 as the next digit of our solution. 
Result so far: 870.53
The remainder is 54 after subtracting 246 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 8:
If we divide 540 by 82, we get 6 and a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 870.536
If we take 492 away from 540, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 9:
When dividing 480 by 82, we get 5 with a remainder of 70.
The number 5 becomes the next digit in our result. 
Result so far: 870.5365
Deduct 410 from 480 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
When dividing 700 by 82, we get 8 with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 870.53658
Subtracting 656 from 700 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 11:
The number 82 fits into 440 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 870.536585
If we take 410 away from 440, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
When dividing 300 by 82, we get 3 with a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 870.5365853
Subtracting 246 from 300 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 13:
The number 82 fits into 540 6 times, leaving a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 870.53658536
Deduct 492 from 540 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 870.53658536 with a balance of 4.8e-08.