We're dividing 40435 by 82 
We're looking to find how many times 82 goes into 40435.

Advancing to step 1:
When dividing 4 by 82, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 82

Let's proceed to step 2:
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: 0.0
If we take 0 away from 40, we end up with 40.
Include the next digit (4) from the dividend after 40, then repeat: 404 / 82

Step 3:
404 divided by 82 is 4 with a remainder of 76.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 328 away from 404, we end up with 76.
Grab the next digit (3) from the dividend, add it to 76, then carry on: 763 / 82

Moving on to step 4:
If we divide 763 by 82, we get 9 and a remainder of 25.
The next digit of our result is 9. 
Result so far: 49.0
If we take 738 away from 763, we end up with 25.
Append the next digit (5) from the dividend to 25 and continue with: 255 / 82

Let's proceed to step 5:
When dividing 255 by 82, we get 3 with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 493.0
If we take 246 away from 255, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 6:
82 goes into 90 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 493.1
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 7:
When dividing 80 by 82, we get 0 with a remainder of 80.
The next digit of our result is 0. 
Result so far: 493.1
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 8:
If we divide 800 by 82, we get 9 and a remainder of 62.
Write down 9 as next digit of the result. 
Result so far: 493.109
The remainder is 62 after subtracting 738 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 9:
When dividing 620 by 82, we get 7 with a remainder of 46.
Record the quotient 7 as the next digit in the result. 
Result so far: 493.1097
The remainder is 46 after subtracting 574 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 10:
460 divided by 82 is 5 with a remainder of 50.
Write down 5 as next digit of the result. 
Result so far: 493.10975
The remainder is 50 after subtracting 410 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 11:
When dividing 500 by 82, we get 6 with a remainder of 8.
The next digit of our result is 6. 
Result so far: 493.109756
If we subtract 492 from 500, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
If we divide 80 by 82, we get 0 and a remainder of 80.
Put 0 as the next digit of the answer. 
Result so far: 493.109756
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 13:
The number 82 fits into 800 9 times, leaving a remainder of 62.
Record the quotient 9 as the next digit in the result. 
Result so far: 493.10975609
Subtract 738 from 800 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

The quotient of the division is 493.10975609, and the remainder is 6.2e-08.