We look at the division of 588238 by 11 
We're looking to find how many times 11 goes into 588238.

On to step 1:
11 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 11

Moving on to step 2:
11 goes into 58 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 5.0
If we take 55 away from 58, we end up with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 11

Let's proceed to step 3:
11 can be fit into 38 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 53.0
The remainder is 5 after subtracting 33 from 38.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 11

Moving on to step 4:
52 divided by 11 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 534.0
If we subtract 44 from 52, we get 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 11

On to step 5:
The number 11 fits into 83 7 times, leaving a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 5347.0
If we take 77 away from 83, we end up with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 11

Step 6:
When dividing 68 by 11, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 53476.0
Subtracting 66 from 68 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
The number 11 fits into 20 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 53476.1
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
If we divide 90 by 11, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 53476.18
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 9:
If we divide 20 by 11, we get 1 and a remainder of 9.
The next digit of our result is 1. 
Result so far: 53476.181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 53476.1818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 11, we get 1 with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 53476.18181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 12:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 53476.181818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
If we divide 20 by 11, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 53476.1818181
If we subtract 11 from 20, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 14:
11 can be fit into 90 8 times, resulting in a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 53476.18181818
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 53476.18181818 with a balance of 2e-09.