421518 ÷ 82 
Our goal is to divide 421518 by 82.

Going ahead 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
If we subtract 0 from 4, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 82

Going ahead to step 2:
82 goes into 42 0 times with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 82

Step 3:
82 goes into 421 5 times with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 410 from 421, we get 11.
Include the next digit (5) from the dividend after 11, then repeat: 115 / 82

Going ahead to step 4:
82 goes into 115 1 times with a remainder of 33.
The next digit of our result is 1. 
Result so far: 51.0
If we take 82 away from 115, we end up with 33.
Grab the next digit (1) from the dividend, add it to 33, then carry on: 331 / 82

Advancing to step 5:
82 can be fit into 331 4 times, resulting in a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 514.0
The remainder is 3 after subtracting 328 from 331.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 82

Let's proceed to step 6:
If we divide 38 by 82, we get 0 and a remainder of 38.
Use 0 as the next digit of our solution. 
Result so far: 5140.0
If we take 0 away from 38, 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.

Moving on to step 7:
82 can be fit into 380 4 times, resulting in a remainder of 52.
The number 4 becomes the next digit in our result. 
Result so far: 5140.4
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.

Going ahead to step 8:
When dividing 520 by 82, we get 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 5140.46
Subtract 492 from 520 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 9:
82 goes into 280 3 times with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 5140.463
If we subtract 246 from 280, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
340 divided by 82 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 5140.4634
If we take 328 away from 340, we end up 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.

Going ahead to step 11:
82 goes into 120 1 times with a remainder of 38.
The next digit of our result is 1. 
Result so far: 5140.46341
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 12:
82 can be fit into 380 4 times, resulting in a remainder of 52.
Use 4 as the next digit of our solution. 
Result so far: 5140.463414
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.

Step 13:
82 goes into 520 6 times with a remainder of 28.
The next digit of our result is 6. 
Result so far: 5140.4634146
Subtract 492 from 520 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 14:
280 divided by 82 is 3 with a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 5140.46341463
Deduct 246 from 280 and we're left 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.

The quotient of the division is 5140.46341463, and the remainder is 3.4e-08.