579901 ÷ 4 
We're looking to find how many times 4 goes into 579901.

Going ahead to step 1:
If we divide 5 by 4, we get 1 and a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 4 from 5 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 4

Going ahead to step 2:
4 can be fit into 17 4 times, resulting in a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 16 from 17 and we're left with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 4

Moving on to step 3:
If we divide 19 by 4, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 144.0
Subtract 16 from 19 to get 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 4

Let's proceed to step 4:
When dividing 39 by 4, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 1449.0
If we subtract 36 from 39, we get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 4

Moving on to step 5:
The number 4 fits into 30 7 times, leaving a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 14497.0
If we subtract 28 from 30, we get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 4

Going ahead to step 6:
4 goes into 21 5 times with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 144975.0
The remainder is 1 after subtracting 20 from 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
4 can be fit into 10 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 144975.2
If we subtract 8 from 10, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
The next digit of our result is 5. 
Result so far: 144975.25
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.

Moving on to step 9:
0 divided by 4 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 144975.25
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.

Advancing to step 10:
4 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 144975.25
If we subtract 0 from 0, we 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.

Our division results in 144975.25 with a remaining 0.0.