We look at the division of 588357 by 44 
Let's see how many times 44 fits into 588357.

Moving on to step 1:
44 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 44

Moving on to step 2:
When dividing 58 by 44, we get 1 with a remainder of 14.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 44 from 58 to get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 44

Let's proceed to step 3:
When dividing 148 by 44, we get 3 with a remainder of 16.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we subtract 132 from 148, we get 16.
Append the next digit (3) from the dividend to 16 and continue with: 163 / 44

Step 4:
163 divided by 44 is 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 133.0
If we subtract 132 from 163, we get 31.
Append the next digit (5) from the dividend to 31 and continue with: 315 / 44

Moving on to step 5:
The number 44 fits into 315 7 times, leaving a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 1337.0
Subtracting 308 from 315 leaves us with 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 44

Going ahead to step 6:
When dividing 77 by 44, we get 1 with a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 13371.0
If we subtract 44 from 77, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 7:
44 goes into 330 7 times with a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 13371.7
If we take 308 away from 330, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
When dividing 220 by 44, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 13371.75
Subtract 220 from 220 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
If we divide 0 by 44, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13371.75
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 10:
When dividing 0 by 44, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 13371.75
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.

In conclusion, the division gives 13371.75 with a balance of 0.0.