Let's divide 431970 by 82
Our goal is to divide 431970 by 82.

Going ahead to step 1:
82 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 82

Going ahead to step 2:
82 can be fit into 43 0 times, resulting in a remainder of 43.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 43, we end up with 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 82

Let's proceed to step 3:
82 goes into 431 5 times with a remainder of 21.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 410 from 431 leaves us with 21.
Fetch the next digit (9) from the dividend, attach it to 21 and continue: 219 / 82

Moving on to step 4:
219 divided by 82 is 2 with a remainder of 55.
Write down 2 as next digit of the result. 
Result so far: 52.0
Deduct 164 from 219 and we're left with 55.
Bring next digit (7) of the dividend behind the 55 and repeat the process: 557 / 82

Step 5:
The number 82 fits into 557 6 times, leaving a remainder of 65.
Use 6 as the next digit of our solution. 
Result so far: 526.0
Deduct 492 from 557 and we're left with 65.
Grab the next digit (0) from the dividend, add it to 65, then carry on: 650 / 82

Advancing to step 6:
When dividing 650 by 82, we get 7 with a remainder of 76.
The next digit of our result is 7. 
Result so far: 5267.0
Subtract 574 from 650 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 7:
When dividing 760 by 82, we get 9 with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 5267.9
Subtract 738 from 760 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 8:
82 can be fit into 220 2 times, resulting in a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 5267.92
If we subtract 164 from 220, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 9:
The number 82 fits into 560 6 times, leaving a remainder of 68.
Put 6 as the next digit of the answer. 
Result so far: 5267.926
Subtract 492 from 560 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 10:
When dividing 680 by 82, we get 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 5267.9268
Deduct 656 from 680 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
82 goes into 240 2 times with a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 5267.92682
If we take 164 away from 240, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 12:
If we divide 760 by 82, we get 9 and a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 5267.926829
If we take 738 away from 760, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 13:
82 can be fit into 220 2 times, resulting in a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 5267.9268292
Deduct 164 from 220 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 14:
If we divide 560 by 82, we get 6 and a remainder of 68.
Record the quotient 6 as the next digit in the result. 
Result so far: 5267.92682926
Deduct 492 from 560 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

The quotient of the division is 5267.92682926, and the remainder is 6.8e-08.