502883 ÷ 4 
We're looking to find how many times 4 goes into 502883.

Advancing to step 1:
4 goes into 5 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
If we take 4 away from 5, we end up with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 4

Going ahead to step 2:
4 goes into 10 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 8 from 10 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 4

Moving on to step 3:
4 goes into 22 5 times with a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 125.0
Subtracting 20 from 22 leaves us with 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 4

Moving on to step 4:
The number 4 fits into 28 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 1257.0
Subtract 28 from 28 to get 0.
Include the next digit (8) from the dividend after 0, then repeat: 8 / 4

Advancing to step 5:
4 goes into 8 2 times with a remainder of 0.
The next digit of our result is 2. 
Result so far: 12572.0
The remainder is 0 after subtracting 8 from 8.
Grab the next digit (3) from the dividend, add it to 0, then carry on: 3 / 4

On to step 6:
4 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 125720.0
Deduct 0 from 3 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
30 divided by 4 is 7 with a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 125720.7
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
4 can be fit into 20 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 125720.75
The remainder is 0 after subtracting 20 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
4 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 125720.75
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
0 divided by 4 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 125720.75
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 125720.75 with a remainder of 0.0.