We divide 436106 by 82
We want to divide 436106 by 82.

Going ahead to step 1:
If we divide 4 by 82, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 82

Step 2:
82 goes into 43 0 times with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 43, we get 43.
Bring next digit (6) of the dividend behind the 43 and repeat the process: 436 / 82

Moving on to step 3:
82 goes into 436 5 times with a remainder of 26.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
The remainder is 26 after subtracting 410 from 436.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 82

On to step 4:
The number 82 fits into 261 3 times, leaving a remainder of 15.
The next digit of our result is 3. 
Result so far: 53.0
The remainder is 15 after subtracting 246 from 261.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 82

Going ahead to step 5:
150 divided by 82 is 1 with a remainder of 68.
The number 1 becomes the next digit in our result. 
Result so far: 531.0
If we subtract 82 from 150, we get 68.
Include the next digit (6) from the dividend after 68, then repeat: 686 / 82

On to step 6:
The number 82 fits into 686 8 times, leaving a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 5318.0
If we subtract 656 from 686, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 7:
300 divided by 82 is 3 with a remainder of 54.
Put 3 as the next digit of the answer. 
Result so far: 5318.3
The remainder is 54 after subtracting 246 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 8:
82 goes into 540 6 times with a remainder of 48.
Use 6 as the next digit of our solution. 
Result so far: 5318.36
Subtracting 492 from 540 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
If we divide 480 by 82, we get 5 and a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 5318.365
If we take 410 away from 480, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
82 goes into 700 8 times with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 5318.3658
Deduct 656 from 700 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 11:
82 goes into 440 5 times with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5318.36585
The remainder is 30 after subtracting 410 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
82 can be fit into 300 3 times, resulting in a remainder of 54.
The next digit of our result is 3. 
Result so far: 5318.365853
Deduct 246 from 300 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 13:
The number 82 fits into 540 6 times, leaving a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 5318.3658536
If we take 492 away from 540, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 14:
82 goes into 480 5 times with a remainder of 70.
The next digit of our result is 5. 
Result so far: 5318.36585365
Deduct 410 from 480 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 5318.36585365, and the remainder is 7e-08.