We look at the division of 55302 by 82 
We want to divide 55302 by 82.

Advancing to step 1:
When dividing 5 by 82, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 82

On to step 2:
82 goes into 55 0 times with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Grab the next digit (3) from the dividend, add it to 55, then carry on: 553 / 82

Advancing to step 3:
553 divided by 82 is 6 with a remainder of 61.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 492 from 553, we get 61.
Append the next digit (0) from the dividend to 61 and continue with: 610 / 82

Step 4:
610 divided by 82 is 7 with a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 67.0
The remainder is 36 after subtracting 574 from 610.
Fetch the next digit (2) from the dividend, attach it to 36 and continue: 362 / 82

On to step 5:
82 can be fit into 362 4 times, resulting in a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 674.0
If we take 328 away from 362, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 6:
340 divided by 82 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 674.4
If we take 328 away from 340, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
82 can be fit into 120 1 times, resulting in a remainder of 38.
The next digit of our result is 1. 
Result so far: 674.41
The remainder is 38 after subtracting 82 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
When dividing 380 by 82, we get 4 with a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 674.414
If we subtract 328 from 380, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 9:
The number 82 fits into 520 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 674.4146
If we subtract 492 from 520, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 10:
280 divided by 82 is 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 674.41463
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 11:
When dividing 340 by 82, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 674.414634
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
82 goes into 120 1 times with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 674.4146341
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
82 can be fit into 380 4 times, resulting in a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 674.41463414
Deduct 328 from 380 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

After the division, we end up with 674.41463414 and a remainder of 5.2e-08.