Let's divide 43626 by 82
Our goal is to divide 43626 by 82.

Advancing to step 1:
4 divided by 82 is 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 82

Moving on to 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
The remainder is 43 after subtracting 0 from 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 82

On to step 3:
The number 82 fits into 436 5 times, leaving a remainder of 26.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 410 from 436 and we're left with 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 82

Let's proceed to step 4:
The number 82 fits into 262 3 times, leaving a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtracting 246 from 262 leaves us with 16.
Bring next digit (6) of the dividend behind the 16 and repeat the process: 166 / 82

Let's proceed to step 5:
The number 82 fits into 166 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 532.0
If we take 164 away from 166, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 6:
82 goes into 20 0 times with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 532.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
82 goes into 200 2 times with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 532.02
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 82, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 532.024
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 9:
If we divide 320 by 82, we get 3 and a remainder of 74.
Put 3 as the next digit of the answer. 
Result so far: 532.0243
Subtract 246 from 320 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 10:
82 can be fit into 740 9 times, resulting in a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 532.02439
The remainder is 2 after subtracting 738 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 11:
When dividing 20 by 82, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 532.02439
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
82 can be fit into 200 2 times, resulting in a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 532.0243902
Subtract 164 from 200 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 13:
The number 82 fits into 360 4 times, leaving a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 532.02439024
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 532.02439024 with a balance of 3.2e-08.