Let's divide 514219 by 83
We want to figure out the number of times 514219 can be divided by 83.

Advancing to step 1:
5 divided by 83 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 83

Advancing to step 2:
When dividing 51 by 83, we get 0 with a remainder of 51.
Use 0 as the next digit of our solution. 
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 / 83

Going ahead to step 3:
83 can be fit into 514 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we take 498 away from 514, we end up with 16.
Grab the next digit (2) from the dividend, add it to 16, then carry on: 162 / 83

Step 4:
83 goes into 162 1 times with a remainder of 79.
Write down 1 as next digit of the result. 
Result so far: 61.0
The remainder is 79 after subtracting 83 from 162.
Bring next digit (1) of the dividend behind the 79 and repeat the process: 791 / 83

Advancing to step 5:
The number 83 fits into 791 9 times, leaving a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 619.0
If we take 747 away from 791, we end up with 44.
Bring next digit (9) of the dividend behind the 44 and repeat the process: 449 / 83

Advancing to step 6:
When dividing 449 by 83, we get 5 with a remainder of 34.
Record the quotient 5 as the next digit in the result. 
Result so far: 6195.0
If we take 415 away from 449, we end up 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.

On to step 7:
When dividing 340 by 83, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 6195.4
Subtract 332 from 340 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
80 divided by 83 is 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 6195.4
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Let's proceed to step 9:
When dividing 800 by 83, we get 9 with a remainder of 53.
Write down 9 as next digit of the result. 
Result so far: 6195.409
The remainder is 53 after subtracting 747 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 10:
When dividing 530 by 83, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 6195.4096
Subtracting 498 from 530 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 11:
When dividing 320 by 83, we get 3 with a remainder of 71.
Put 3 as the next digit of the answer. 
Result so far: 6195.40963
Deduct 249 from 320 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 12:
The number 83 fits into 710 8 times, leaving a remainder of 46.
Use 8 as the next digit of our solution. 
Result so far: 6195.409638
If we subtract 664 from 710, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
When dividing 460 by 83, we get 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 6195.4096385
Subtract 415 from 460 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 14:
When dividing 450 by 83, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 6195.40963855
Subtracting 415 from 450 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 6195.40963855 with a remaining 3.5e-08.