586999 ÷ 44 
Our goal is to divide 586999 by 44.

Going ahead to step 1:
5 divided by 44 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 44

Let's proceed to step 2:
44 can be fit into 58 1 times, resulting in a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 44 away from 58, we end up with 14.
Take the next digit (6) from the dividend and append it to 14, then repeat: 146 / 44

Going ahead to step 3:
146 divided by 44 is 3 with a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 132 from 146 to get 14.
Fetch the next digit (9) from the dividend, attach it to 14 and continue: 149 / 44

Going ahead to step 4:
When dividing 149 by 44, we get 3 with a remainder of 17.
The next digit of our result is 3. 
Result so far: 133.0
If we subtract 132 from 149, we get 17.
Append the next digit (9) from the dividend to 17 and continue with: 179 / 44

Step 5:
44 can be fit into 179 4 times, resulting in a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 1334.0
Subtracting 176 from 179 leaves us with 3.
Append the next digit (9) from the dividend to 3 and continue with: 39 / 44

Moving on to step 6:
44 goes into 39 0 times with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 13340.0
If we subtract 0 from 39, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
390 divided by 44 is 8 with a remainder of 38.
Put 8 as the next digit of the answer. 
Result so far: 13340.8
Subtract 352 from 390 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 8:
When dividing 380 by 44, we get 8 with a remainder of 28.
The next digit of our result is 8. 
Result so far: 13340.88
Subtract 352 from 380 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Our division results in 13340.88 with a remaining 0.028.