412221 ÷ 82 
Let's see how many times 82 fits into 412221.

Going ahead to step 1:
When dividing 4 by 82, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 82

Going ahead to step 2:
41 divided by 82 is 0 with a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (2) from the dividend after 41, then repeat: 412 / 82

Going ahead to step 3:
The number 82 fits into 412 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 410 from 412 and we're left with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 82

Going ahead to step 4:
When dividing 22 by 82, we get 0 with a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 50.0
Subtract 0 from 22 to get 22.
Fetch the next digit (2) from the dividend, attach it to 22 and continue: 222 / 82

Going ahead to step 5:
82 goes into 222 2 times with a remainder of 58.
The next digit of our result is 2. 
Result so far: 502.0
The remainder is 58 after subtracting 164 from 222.
Bring next digit (1) of the dividend behind the 58 and repeat the process: 581 / 82

Moving on to step 6:
581 divided by 82 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 5027.0
Subtract 574 from 581 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
If we divide 70 by 82, we get 0 and a remainder of 70.
The next digit of our result is 0. 
Result so far: 5027.0
Subtract 0 from 70 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 8:
82 can be fit into 700 8 times, resulting in a remainder of 44.
The next digit of our result is 8. 
Result so far: 5027.08
Subtract 656 from 700 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
440 divided by 82 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 5027.085
If we subtract 410 from 440, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 10:
If we divide 300 by 82, we get 3 and a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 5027.0853
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 11:
540 divided by 82 is 6 with a remainder of 48.
The next digit of our result is 6. 
Result so far: 5027.08536
Subtract 492 from 540 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 12:
The number 82 fits into 480 5 times, leaving a remainder of 70.
Use 5 as the next digit of our solution. 
Result so far: 5027.085365
Subtracting 410 from 480 leaves us 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.

Advancing to step 13:
82 goes into 700 8 times with a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 5027.0853658
If we subtract 656 from 700, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 14:
If we divide 440 by 82, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 5027.08536585
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.

The final result is 5027.08536585 with a remainder of 3e-08.