503213 ÷ 83 
Our goal is to divide 503213 by 83.

Step 1:
The number 83 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 83

Advancing to step 2:
The number 83 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Bring next digit (3) of the dividend behind the 50 and repeat the process: 503 / 83

Let's proceed to step 3:
When dividing 503 by 83, we get 6 with a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 498 from 503 leaves us with 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 83

Going ahead to step 4:
83 goes into 52 0 times with a remainder of 52.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
Subtracting 0 from 52 leaves us with 52.
Take the next digit (1) from the dividend and append it to 52, then repeat: 521 / 83

Step 5:
The number 83 fits into 521 6 times, leaving a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 606.0
Subtract 498 from 521 to get 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 83

Advancing to step 6:
When dividing 233 by 83, we get 2 with a remainder of 67.
The number 2 becomes the next digit in our result. 
Result so far: 6062.0
If we subtract 166 from 233, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 7:
83 can be fit into 670 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 6062.8
Deduct 664 from 670 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
If we divide 60 by 83, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 6062.8
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
When dividing 600 by 83, we get 7 with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 6062.807
The remainder is 19 after subtracting 581 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 10:
83 can be fit into 190 2 times, resulting in a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 6062.8072
Deduct 166 from 190 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
83 can be fit into 240 2 times, resulting in a remainder of 74.
Record the quotient 2 as the next digit in the result. 
Result so far: 6062.80722
Subtracting 166 from 240 leaves us 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.

Our division results in 6062.80722 with a remaining 7.4e-05.