35329 ÷ 82 
Our goal is to divide 35329 by 82.

Moving on to step 1:
When dividing 3 by 82, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 82

Moving on to step 2:
The number 82 fits into 35 0 times, leaving a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 82

Advancing to step 3:
When dividing 353 by 82, we get 4 with a remainder of 25.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 328 away from 353, we end up with 25.
Include the next digit (2) from the dividend after 25, then repeat: 252 / 82

Let's proceed to step 4:
82 goes into 252 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 246 from 252 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 82

Step 5:
82 goes into 69 0 times with a remainder of 69.
Write down 0 as next digit of the result. 
Result so far: 430.0
If we subtract 0 from 69, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 6:
If we divide 690 by 82, we get 8 and a remainder of 34.
The next digit of our result is 8. 
Result so far: 430.8
The remainder is 34 after subtracting 656 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
If we divide 340 by 82, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 430.84
Subtracting 328 from 340 leaves us 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.

Moving on to step 8:
120 divided by 82 is 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 430.841
Deduct 82 from 120 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 9:
82 goes into 380 4 times with a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 430.8414
If we take 328 away from 380, we end up 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.

Advancing to step 10:
82 can be fit into 520 6 times, resulting in a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 430.84146
Deduct 492 from 520 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 11:
When dividing 280 by 82, we get 3 with a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 430.841463
If we take 246 away from 280, 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.

Let's proceed to step 12:
340 divided by 82 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 430.8414634
The remainder is 12 after subtracting 328 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
If we divide 120 by 82, we get 1 and a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 430.84146341
If we take 82 away from 120, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 430.84146341, and the remainder is 3.8e-08.