We're dividing 360577 by 82 
We're looking to find how many times 82 goes into 360577.

Step 1:
3 divided by 82 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 82

Let's proceed to step 2:
82 can be fit into 36 0 times, resulting in a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Append the next digit (0) from the dividend to 36 and continue with: 360 / 82

Moving on to step 3:
If we divide 360 by 82, we get 4 and a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 328 away from 360, we end up with 32.
Fetch the next digit (5) from the dividend, attach it to 32 and continue: 325 / 82

Going ahead to step 4:
82 can be fit into 325 3 times, resulting in a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtracting 246 from 325 leaves us with 79.
Include the next digit (7) from the dividend after 79, then repeat: 797 / 82

Let's proceed to step 5:
The number 82 fits into 797 9 times, leaving a remainder of 59.
The next digit of our result is 9. 
Result so far: 439.0
Deduct 738 from 797 and we're left with 59.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 82

Advancing to step 6:
82 can be fit into 597 7 times, resulting in a remainder of 23.
The number 7 becomes the next digit in our result. 
Result so far: 4397.0
Deduct 574 from 597 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
If we divide 230 by 82, we get 2 and a remainder of 66.
The next digit of our result is 2. 
Result so far: 4397.2
Subtract 164 from 230 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 8:
82 goes into 660 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 4397.28
If we take 656 away from 660, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
82 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 4397.28
If we subtract 0 from 40, we get 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 10:
82 goes into 400 4 times with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 4397.2804
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.

Let's proceed to step 11:
82 goes into 720 8 times with a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 4397.28048
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 12:
The number 82 fits into 640 7 times, leaving a remainder of 66.
The number 7 becomes the next digit in our result. 
Result so far: 4397.280487
Subtracting 574 from 640 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 13:
82 can be fit into 660 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 4397.2804878
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.

Step 14:
When dividing 40 by 82, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 4397.2804878
Deduct 0 from 40 and we're left 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.

In conclusion, the division gives 4397.2804878 with a balance of 4e-08.