582544 ÷ 4 
We're looking to find how many times 4 goes into 582544.

Let's proceed to step 1:
The number 4 fits into 5 1 times, leaving a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 4 from 5 leaves us with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 4

Moving on to step 2:
18 divided by 4 is 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 14.0
Deduct 16 from 18 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 4

On to step 3:
4 can be fit into 22 5 times, resulting in a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 145.0
The remainder is 2 after subtracting 20 from 22.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 4

Going ahead to step 4:
When dividing 25 by 4, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 1456.0
The remainder is 1 after subtracting 24 from 25.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 4

Going ahead to step 5:
4 goes into 14 3 times with a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 14563.0
Deduct 12 from 14 and we're left with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 4

Going ahead to step 6:
24 divided by 4 is 6 with a remainder of 0.
The next digit of our result is 6. 
Result so far: 145636.0
If we take 24 away from 24, 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.

Moving on to step 7:
When dividing 0 by 4, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 145636.0
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 8:
0 divided by 4 is 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 145636.0
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.

After the division, we end up with 145636.0 and a remainder of 0.0.