We're dividing 586137 by 11 
Let's see how many times 11 fits into 586137.

Let's proceed to step 1:
11 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 11

On to step 2:
When dividing 58 by 11, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 55 from 58 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 11

Advancing to step 3:
11 goes into 36 3 times with a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 53.0
Subtracting 33 from 36 leaves us with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 11

Let's proceed to step 4:
If we divide 31 by 11, we get 2 and a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 532.0
Subtracting 22 from 31 leaves us with 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 11

On to step 5:
11 can be fit into 93 8 times, resulting in a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 5328.0
Subtract 88 from 93 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 11

Moving on to step 6:
57 divided by 11 is 5 with a remainder of 2.
Put 5 as the next digit of the answer. 
Result so far: 53285.0
If we take 55 away from 57, we end up 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:
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: 53285.1
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.

Let's proceed to step 8:
90 divided by 11 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 53285.18
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 9:
11 goes into 20 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 53285.181
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 10:
When dividing 90 by 11, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 53285.1818
Subtracting 88 from 90 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.

Advancing to step 11:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 53285.18181
If we take 11 away from 20, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
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: 53285.181818
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.

Moving on to step 13:
11 goes into 20 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 53285.1818181
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.

Advancing to step 14:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 53285.18181818
Subtracting 88 from 90 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.

In conclusion, the division gives 53285.18181818 with a balance of 2e-09.