We look at the division of 413114 by 82 
We want to figure out the number of times 413114 can be divided by 82.

Moving on to step 1:
4 divided by 82 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 82

Moving on to step 2:
82 goes into 41 0 times with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 82

Moving on to step 3:
When dividing 413 by 82, we get 5 with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Deduct 410 from 413 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 82

Let's proceed to step 4:
When dividing 31 by 82, we get 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 50.0
Subtract 0 from 31 to get 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 82

Let's proceed to step 5:
311 divided by 82 is 3 with a remainder of 65.
Put 3 as the next digit of the answer. 
Result so far: 503.0
The remainder is 65 after subtracting 246 from 311.
Include the next digit (4) from the dividend after 65, then repeat: 654 / 82

Going ahead to step 6:
If we divide 654 by 82, we get 7 and a remainder of 80.
Record the quotient 7 as the next digit in the result. 
Result so far: 5037.0
Deduct 574 from 654 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 7:
82 can be fit into 800 9 times, resulting in a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 5037.9
The remainder is 62 after subtracting 738 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 8:
The number 82 fits into 620 7 times, leaving a remainder of 46.
The next digit of our result is 7. 
Result so far: 5037.97
The remainder is 46 after subtracting 574 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 9:
460 divided by 82 is 5 with a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 5037.975
Deduct 410 from 460 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
82 goes into 500 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 5037.9756
Subtracting 492 from 500 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
80 divided by 82 is 0 with a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 5037.9756
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 12:
When dividing 800 by 82, we get 9 with a remainder of 62.
Use 9 as the next digit of our solution. 
Result so far: 5037.975609
Deduct 738 from 800 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 13:
If we divide 620 by 82, we get 7 and a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 5037.9756097
If we subtract 574 from 620, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 14:
When dividing 460 by 82, we get 5 with a remainder of 50.
Use 5 as the next digit of our solution. 
Result so far: 5037.97560975
If we take 410 away from 460, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Our division results in 5037.97560975 with a remaining 5e-08.