478410 ÷ 82 
We're looking to find how many times 82 goes into 478410.

Advancing to step 1:
When dividing 4 by 82, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 82

On to step 2:
82 can be fit into 47 0 times, resulting in a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 47 leaves us with 47.
Append the next digit (8) from the dividend to 47 and continue with: 478 / 82

On to step 3:
478 divided by 82 is 5 with a remainder of 68.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 410 from 478 to get 68.
Grab the next digit (4) from the dividend, add it to 68, then carry on: 684 / 82

Let's proceed to step 4:
82 goes into 684 8 times with a remainder of 28.
The next digit of our result is 8. 
Result so far: 58.0
The remainder is 28 after subtracting 656 from 684.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 82

On to step 5:
82 goes into 281 3 times with a remainder of 35.
Write down 3 as next digit of the result. 
Result so far: 583.0
If we take 246 away from 281, we end up with 35.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 82

Step 6:
350 divided by 82 is 4 with a remainder of 22.
The next digit of our result is 4. 
Result so far: 5834.0
Deduct 328 from 350 and we're left 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 7:
When dividing 220 by 82, we get 2 with a remainder of 56.
Put 2 as the next digit of the answer. 
Result so far: 5834.2
If we take 164 away from 220, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 8:
82 goes into 560 6 times with a remainder of 68.
Use 6 as the next digit of our solution. 
Result so far: 5834.26
If we take 492 away from 560, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 9:
82 goes into 680 8 times with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 5834.268
Deduct 656 from 680 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
82 goes into 240 2 times with a remainder of 76.
Put 2 as the next digit of the answer. 
Result so far: 5834.2682
Subtract 164 from 240 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 11:
When dividing 760 by 82, we get 9 with a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 5834.26829
Deduct 738 from 760 and we're left 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 82 fits into 220 2 times, leaving a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 5834.268292
Subtracting 164 from 220 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 13:
82 can be fit into 560 6 times, resulting in a remainder of 68.
The next digit of our result is 6. 
Result so far: 5834.2682926
The remainder is 68 after subtracting 492 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 14:
The number 82 fits into 680 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 5834.26829268
Subtract 656 from 680 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 5834.26829268 with a remainder of 2.4e-08.