We divide 412025 by 82
We're looking to find how many times 82 goes into 412025.

On to step 1:
When dividing 4 by 82, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 82

Advancing to step 2:
If we divide 41 by 82, we get 0 and a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (2) from the dividend to 41 and continue with: 412 / 82

Going ahead to step 3:
The number 82 fits into 412 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 410 from 412 leaves us with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 82

Step 4:
When dividing 20 by 82, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 50.0
If we take 0 away from 20, we end up with 20.
Bring next digit (2) of the dividend behind the 20 and repeat the process: 202 / 82

Going ahead to step 5:
202 divided by 82 is 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 502.0
If we take 164 away from 202, we end up with 38.
Include the next digit (5) from the dividend after 38, then repeat: 385 / 82

Advancing to step 6:
82 can be fit into 385 4 times, resulting in a remainder of 57.
Use 4 as the next digit of our solution. 
Result so far: 5024.0
Deduct 328 from 385 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 7:
82 can be fit into 570 6 times, resulting in a remainder of 78.
The next digit of our result is 6. 
Result so far: 5024.6
The remainder is 78 after subtracting 492 from 570.
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 8:
82 can be fit into 780 9 times, resulting in a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 5024.69
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.

Advancing to step 9:
The number 82 fits into 420 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 5024.695
If we take 410 away from 420, we end up 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.

Step 10:
The number 82 fits into 100 1 times, leaving a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 5024.6951
If we subtract 82 from 100, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 11:
180 divided by 82 is 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 5024.69512
Subtracting 164 from 180 leaves us 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.

On to step 12:
160 divided by 82 is 1 with a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 5024.695121
Deduct 82 from 160 and we're left 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.

Going ahead to step 13:
82 can be fit into 780 9 times, resulting in a remainder of 42.
Use 9 as the next digit of our solution. 
Result so far: 5024.6951219
The remainder is 42 after subtracting 738 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 14:
82 can be fit into 420 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5024.69512195
If we subtract 410 from 420, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 5024.69512195 with a balance of 1e-08.