508403 ÷ 83 
We want to divide 508403 by 83.

Let's proceed to step 1:
5 divided by 83 is 0 with 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.
Fetch the next digit (0) from the dividend, attach it to 5 and continue: 50 / 83

Moving on to step 2:
83 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Bring next digit (8) of the dividend behind the 50 and repeat the process: 508 / 83

On to step 3:
The number 83 fits into 508 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtracting 498 from 508 leaves us with 10.
Append the next digit (4) from the dividend to 10 and continue with: 104 / 83

Advancing to step 4:
83 can be fit into 104 1 times, resulting in a remainder of 21.
The next digit of our result is 1. 
Result so far: 61.0
Subtracting 83 from 104 leaves us with 21.
Include the next digit (0) from the dividend after 21, then repeat: 210 / 83

On to step 5:
When dividing 210 by 83, we get 2 with a remainder of 44.
Put 2 as the next digit of the answer. 
Result so far: 612.0
Subtract 166 from 210 to get 44.
Fetch the next digit (3) from the dividend, attach it to 44 and continue: 443 / 83

Advancing to step 6:
If we divide 443 by 83, we get 5 and a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 6125.0
If we take 415 away from 443, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 7:
83 can be fit into 280 3 times, resulting in a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 6125.3
The remainder is 31 after subtracting 249 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 8:
When dividing 310 by 83, we get 3 with a remainder of 61.
Record the quotient 3 as the next digit in the result. 
Result so far: 6125.33
If we take 249 away from 310, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The quotient of the division is 6125.33, and the remainder is 0.061.