586587 ÷ 4 
Our goal is to divide 586587 by 4.

Let's proceed to step 1:
4 can be fit into 5 1 times, resulting in a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 4 from 5, we get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 4

Step 2:
18 divided by 4 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
Subtracting 16 from 18 leaves us with 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 4

Let's proceed to step 3:
26 divided by 4 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 146.0
The remainder is 2 after subtracting 24 from 26.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 4

Going ahead to step 4:
25 divided by 4 is 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 1466.0
If we subtract 24 from 25, we get 1.
Include the next digit (8) from the dividend after 1, then repeat: 18 / 4

Advancing to step 5:
If we divide 18 by 4, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 14664.0
Subtracting 16 from 18 leaves us with 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 4

Going ahead to step 6:
4 goes into 27 6 times with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 146646.0
Deduct 24 from 27 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.

Advancing to step 7:
If we divide 30 by 4, we get 7 and a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 146646.7
If we take 28 away from 30, we end up 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 can be fit into 20 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 146646.75
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.

Step 9:
If we divide 0 by 4, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 146646.75
The remainder is 0 after subtracting 0 from 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:
The number 4 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 146646.75
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 146646.75 with a remainder of 0.0.