417261 ÷ 82 
We want to figure out the number of times 417261 can be divided by 82.

On to step 1:
4 divided by 82 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 82

Going ahead to step 2:
When dividing 41 by 82, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Grab the next digit (7) from the dividend, add it to 41, then carry on: 417 / 82

Advancing to step 3:
When dividing 417 by 82, we get 5 with a remainder of 7.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtract 410 from 417 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 82

Going ahead to step 4:
When dividing 72 by 82, we get 0 with a remainder of 72.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
If we take 0 away from 72, we end up with 72.
Include the next digit (6) from the dividend after 72, then repeat: 726 / 82

Let's proceed to step 5:
The number 82 fits into 726 8 times, leaving a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 508.0
Deduct 656 from 726 and we're left with 70.
Take the next digit (1) from the dividend and append it to 70, then repeat: 701 / 82

Moving on to step 6:
82 can be fit into 701 8 times, resulting in a remainder of 45.
Put 8 as the next digit of the answer. 
Result so far: 5088.0
Subtracting 656 from 701 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
82 goes into 450 5 times with a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 5088.5
Subtracting 410 from 450 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
If we divide 400 by 82, we get 4 and a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 5088.54
If we take 328 away from 400, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Moving on to step 9:
720 divided by 82 is 8 with a remainder of 64.
Record the quotient 8 as the next digit in the result. 
Result so far: 5088.548
Deduct 656 from 720 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 10:
82 goes into 640 7 times with a remainder of 66.
Put 7 as the next digit of the answer. 
Result so far: 5088.5487
The remainder is 66 after subtracting 574 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 11:
The number 82 fits into 660 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 5088.54878
If we subtract 656 from 660, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
The number 82 fits into 40 0 times, leaving a remainder of 40.
The next digit of our result is 0. 
Result so far: 5088.54878
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
82 goes into 400 4 times with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 5088.5487804
If we subtract 328 from 400, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 14:
If we divide 720 by 82, we get 8 and a remainder of 64.
Write down 8 as next digit of the result. 
Result so far: 5088.54878048
Deduct 656 from 720 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 5088.54878048 with a remainder of 6.4e-08.