We look at the division of 516360 by 83 
Our goal is to divide 516360 by 83.

On to step 1:
If we divide 5 by 83, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 83

Advancing to step 2:
If we divide 51 by 83, we get 0 and a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 51 leaves us with 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 83

On to step 3:
83 goes into 516 6 times with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 498 from 516, we get 18.
Take the next digit (3) from the dividend and append it to 18, then repeat: 183 / 83

Step 4:
83 goes into 183 2 times with a remainder of 17.
Put 2 as the next digit of the answer. 
Result so far: 62.0
If we subtract 166 from 183, we get 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 83

Going ahead to step 5:
176 divided by 83 is 2 with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 622.0
Deduct 166 from 176 and we're left with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 83

Let's proceed to step 6:
If we divide 100 by 83, we get 1 and a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 6221.0
The remainder is 17 after subtracting 83 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
83 can be fit into 170 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 6221.2
If we subtract 166 from 170, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
83 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 6221.2
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
The number 83 fits into 400 4 times, leaving a remainder of 68.
Write down 4 as next digit of the result. 
Result so far: 6221.204
Subtract 332 from 400 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.

Moving on to step 10:
83 goes into 680 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 6221.2048
Subtracting 664 from 680 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 11:
If we divide 160 by 83, we get 1 and a remainder of 77.
Use 1 as the next digit of our solution. 
Result so far: 6221.20481
If we subtract 83 from 160, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 12:
The number 83 fits into 770 9 times, leaving a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 6221.204819
Subtracting 747 from 770 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 13:
230 divided by 83 is 2 with a remainder of 64.
The next digit of our result is 2. 
Result so far: 6221.2048192
Deduct 166 from 230 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 14:
The number 83 fits into 640 7 times, leaving a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 6221.20481927
The remainder is 59 after subtracting 581 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

In conclusion, the division gives 6221.20481927 with a balance of 5.9e-08.