503824 ÷ 83 
Our goal is to divide 503824 by 83.

Going ahead to step 1:
If we divide 5 by 83, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 83

Step 2:
If we divide 50 by 83, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 50, we end up with 50.
Grab the next digit (3) from the dividend, add it to 50, then carry on: 503 / 83

Going ahead to step 3:
When dividing 503 by 83, we get 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 498 from 503, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 83

Step 4:
If we divide 58 by 83, we get 0 and a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 60.0
The remainder is 58 after subtracting 0 from 58.
Fetch the next digit (2) from the dividend, attach it to 58 and continue: 582 / 83

On to step 5:
582 divided by 83 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 607.0
If we subtract 581 from 582, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 83

Step 6:
83 goes into 14 0 times with a remainder of 14.
Record the quotient 0 as the next digit in the result. 
Result so far: 6070.0
If we take 0 away from 14, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
83 can be fit into 140 1 times, resulting in a remainder of 57.
The next digit of our result is 1. 
Result so far: 6070.1
Subtracting 83 from 140 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 8:
If we divide 570 by 83, we get 6 and a remainder of 72.
Write down 6 as next digit of the result. 
Result so far: 6070.16
Deduct 498 from 570 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Going ahead to step 9:
83 can be fit into 720 8 times, resulting in a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 6070.168
The remainder is 56 after subtracting 664 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
83 can be fit into 560 6 times, resulting in a remainder of 62.
The next digit of our result is 6. 
Result so far: 6070.1686
If we subtract 498 from 560, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 11:
The number 83 fits into 620 7 times, leaving a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 6070.16867
If we subtract 581 from 620, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 12:
If we divide 390 by 83, we get 4 and a remainder of 58.
Put 4 as the next digit of the answer. 
Result so far: 6070.168674
The remainder is 58 after subtracting 332 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 13:
If we divide 580 by 83, we get 6 and a remainder of 82.
Use 6 as the next digit of our solution. 
Result so far: 6070.1686746
Subtract 498 from 580 to get 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

Step 14:
When dividing 820 by 83, we get 9 with a remainder of 73.
Record the quotient 9 as the next digit in the result. 
Result so far: 6070.16867469
Subtract 747 from 820 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

After the division, we end up with 6070.16867469 and a remainder of 7.3e-08.