419410 ÷ 82 
We want to divide 419410 by 82.

On to step 1:
82 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 82

Going ahead to step 2:
The number 82 fits into 41 0 times, leaving 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.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 82

Step 3:
If we divide 419 by 82, we get 5 and a remainder of 9.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 410 from 419 to get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 82

Step 4:
82 goes into 94 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 51.0
Subtracting 82 from 94 leaves us with 12.
Include the next digit (1) from the dividend after 12, then repeat: 121 / 82

Advancing to step 5:
When dividing 121 by 82, we get 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 511.0
If we take 82 away from 121, we end up with 39.
Fetch the next digit (0) from the dividend, attach it to 39 and continue: 390 / 82

Step 6:
390 divided by 82 is 4 with a remainder of 62.
The next digit of our result is 4. 
Result so far: 5114.0
The remainder is 62 after subtracting 328 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 7:
When dividing 620 by 82, we get 7 with a remainder of 46.
Write down 7 as next digit of the result. 
Result so far: 5114.7
Subtract 574 from 620 to 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.

On to step 8:
If we divide 460 by 82, we get 5 and a remainder of 50.
The number 5 becomes the next digit in our result. 
Result so far: 5114.75
Subtract 410 from 460 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
82 goes into 500 6 times with a remainder of 8.
The next digit of our result is 6. 
Result so far: 5114.756
The remainder is 8 after subtracting 492 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 10:
The number 82 fits into 80 0 times, leaving a remainder of 80.
The next digit of our result is 0. 
Result so far: 5114.756
If we take 0 away from 80, we end up 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.

Let's proceed to step 11:
If we divide 800 by 82, we get 9 and a remainder of 62.
Record the quotient 9 as the next digit in the result. 
Result so far: 5114.75609
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.

Step 12:
If we divide 620 by 82, we get 7 and a remainder of 46.
The number 7 becomes the next digit in our result. 
Result so far: 5114.756097
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.

On to step 13:
82 goes into 460 5 times with a remainder of 50.
The next digit of our result is 5. 
Result so far: 5114.7560975
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.

On to step 14:
82 goes into 500 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 5114.75609756
If we take 492 away from 500, we end up 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.

In conclusion, the division gives 5114.75609756 with a balance of 8e-09.