501999 divided by 4 
We're looking to find how many times 4 goes into 501999.

Let's proceed to step 1:
4 goes into 5 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 4 from 5 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 4

Moving on to step 2:
4 goes into 10 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we take 8 away from 10, we end up with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 4

Moving on to step 3:
When dividing 21 by 4, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
If we subtract 20 from 21, we get 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 4

Step 4:
The number 4 fits into 19 4 times, leaving a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 1254.0
The remainder is 3 after subtracting 16 from 19.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 4

Advancing to step 5:
If we divide 39 by 4, we get 9 and a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 12549.0
If we take 36 away from 39, we end up with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 4

Advancing to step 6:
4 goes into 39 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 125499.0
Subtract 36 from 39 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 7:
4 can be fit into 30 7 times, resulting in a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 125499.7
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.

Advancing to step 8:
4 goes into 20 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 125499.75
Subtracting 20 from 20 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.

Going ahead to step 9:
The number 4 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 125499.75
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
4 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 125499.75
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.

In conclusion, the division gives 125499.75 with a balance of 0.0.