We're dividing 582198 by 44 
Our goal is to divide 582198 by 44.

On to step 1:
When dividing 5 by 44, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 44

Going ahead to step 2:
If we divide 58 by 44, we get 1 and a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 44 from 58 and we're left with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 44

Moving on to step 3:
44 can be fit into 142 3 times, resulting in a remainder of 10.
The next digit of our result is 3. 
Result so far: 13.0
If we take 132 away from 142, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 44

Let's proceed to step 4:
If we divide 101 by 44, we get 2 and a remainder of 13.
The next digit of our result is 2. 
Result so far: 132.0
Subtracting 88 from 101 leaves us with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 44

Advancing to step 5:
139 divided by 44 is 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 1323.0
Subtract 132 from 139 to get 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 44

Let's proceed to step 6:
The number 44 fits into 78 1 times, leaving a remainder of 34.
Write down 1 as next digit of the result. 
Result so far: 13231.0
Subtracting 44 from 78 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
44 goes into 340 7 times with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 13231.7
The remainder is 32 after subtracting 308 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
The number 44 fits into 320 7 times, leaving a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 13231.77
Subtract 308 from 320 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 13231.77, with a leftover of 0.012.