We look at the division of 585721 by 4 
We want to figure out the number of times 585721 can be divided by 4.

Step 1:
If we divide 5 by 4, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 4 from 5.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 4

Advancing to step 2:
The number 4 fits into 18 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 2 after subtracting 16 from 18.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 4

Advancing to step 3:
4 goes into 25 6 times with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 146.0
If we subtract 24 from 25, we get 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 4

Step 4:
17 divided by 4 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 1464.0
If we subtract 16 from 17, we get 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 4

Moving on to step 5:
If we divide 12 by 4, we get 3 and a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 14643.0
Subtract 12 from 12 to get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 4

Let's proceed to step 6:
1 divided by 4 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 146430.0
Deduct 0 from 1 and we're left with 1.
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:
The number 4 fits into 10 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 146430.2
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.

Going ahead to step 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 146430.25
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:
If we divide 0 by 4, we get 0 and a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 146430.25
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.

Let's proceed to step 10:
When dividing 0 by 4, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 146430.25
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.

In conclusion, the division gives 146430.25 with a balance of 0.0.