We look at the division of 584066 by 44 
We're looking to find how many times 44 goes into 584066.

On to step 1:
5 divided by 44 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 44

Moving on to step 2:
44 goes into 58 1 times with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 44 from 58 leaves us with 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 44

Let's proceed to step 3:
When dividing 144 by 44, we get 3 with a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Deduct 132 from 144 and we're left with 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 44

Going ahead to step 4:
If we divide 120 by 44, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 132.0
The remainder is 32 after subtracting 88 from 120.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 44

Let's proceed to step 5:
If we divide 326 by 44, we get 7 and a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 1327.0
If we subtract 308 from 326, we get 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 44

On to step 6:
44 can be fit into 186 4 times, resulting in a remainder of 10.
The next digit of our result is 4. 
Result so far: 13274.0
The remainder is 10 after subtracting 176 from 186.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
44 goes into 100 2 times with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 13274.2
If we take 88 away from 100, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
44 goes into 120 2 times with a remainder of 32.
Put 2 as the next digit of the answer. 
Result so far: 13274.22
If we take 88 away from 120, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 13274.22 and a remainder of 0.032.