Let's divide 514214 by 82
We want to figure out the number of times 514214 can be divided by 82.

Going ahead to step 1:
When dividing 5 by 82, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 82

On to step 2:
When dividing 51 by 82, we get 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 82

Advancing to step 3:
When dividing 514 by 82, we get 6 with a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 492 from 514 to get 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 82

Step 4:
When dividing 222 by 82, we get 2 with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtracting 164 from 222 leaves us with 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 82

Advancing to step 5:
82 goes into 581 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 627.0
If we subtract 574 from 581, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 82

Moving on to step 6:
82 goes into 74 0 times with a remainder of 74.
Put 0 as the next digit of the answer. 
Result so far: 6270.0
Deduct 0 from 74 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 7:
If we divide 740 by 82, we get 9 and a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 6270.9
Deduct 738 from 740 and we're left 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.

Going ahead to step 8:
20 divided by 82 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6270.9
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.

Let's proceed to step 9:
82 goes into 200 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 6270.902
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 10:
360 divided by 82 is 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 6270.9024
If we take 328 away from 360, we end up 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.

Step 11:
320 divided by 82 is 3 with a remainder of 74.
The next digit of our result is 3. 
Result so far: 6270.90243
If we take 246 away from 320, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Moving on to step 12:
82 can be fit into 740 9 times, resulting in a remainder of 2.
The next digit of our result is 9. 
Result so far: 6270.902439
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.

Moving on to step 13:
20 divided by 82 is 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 6270.902439
The remainder is 20 after subtracting 0 from 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 14:
When dividing 200 by 82, we get 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 6270.90243902
If we subtract 164 from 200, we 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.

Our division results in 6270.90243902 with a remaining 3.6e-08.