412210 ÷ 82 
We want to divide 412210 by 82.

Going ahead to step 1:
The number 82 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 82

Advancing to step 2:
If we divide 41 by 82, we get 0 and a remainder of 41.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 82

Going ahead to step 3:
82 goes into 412 5 times with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 410 from 412 leaves us with 2.
Take the next digit (2) from the dividend and append it to 2, then repeat: 22 / 82

Advancing to step 4:
82 can be fit into 22 0 times, resulting in a remainder of 22.
Write down 0 as next digit of the result. 
Result so far: 50.0
Deduct 0 from 22 and we're left with 22.
Append the next digit (1) from the dividend to 22 and continue with: 221 / 82

Advancing to step 5:
If we divide 221 by 82, we get 2 and a remainder of 57.
Use 2 as the next digit of our solution. 
Result so far: 502.0
Deduct 164 from 221 and we're left with 57.
Append the next digit (0) from the dividend to 57 and continue with: 570 / 82

Let's proceed to step 6:
82 can be fit into 570 6 times, resulting in a remainder of 78.
The number 6 becomes the next digit in our result. 
Result so far: 5026.0
If we take 492 away from 570, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 7:
82 goes into 780 9 times with a remainder of 42.
Write down 9 as next digit of the result. 
Result so far: 5026.9
Subtract 738 from 780 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
If we divide 420 by 82, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 5026.95
The remainder is 10 after subtracting 410 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
The number 82 fits into 100 1 times, leaving a remainder of 18.
The next digit of our result is 1. 
Result so far: 5026.951
If we take 82 away from 100, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 10:
If we divide 180 by 82, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 5026.9512
If we take 164 away from 180, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
When dividing 160 by 82, we get 1 with a remainder of 78.
The next digit of our result is 1. 
Result so far: 5026.95121
If we take 82 away from 160, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 12:
82 goes into 780 9 times with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 5026.951219
Deduct 738 from 780 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 13:
82 can be fit into 420 5 times, resulting in a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 5026.9512195
Subtracting 410 from 420 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 14:
If we divide 100 by 82, we get 1 and a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 5026.95121951
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 5026.95121951 with a remainder of 1.8e-08.