585886 divided by 11 
Our goal is to divide 585886 by 11.

Advancing to step 1:
When dividing 5 by 11, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 11

Step 2:
When dividing 58 by 11, we get 5 with a remainder of 3.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 55 away from 58, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 11

Advancing to step 3:
The number 11 fits into 35 3 times, leaving a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 53.0
Subtract 33 from 35 to get 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 11

Step 4:
11 can be fit into 28 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 532.0
If we subtract 22 from 28, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 11

Let's proceed to step 5:
The number 11 fits into 68 6 times, leaving a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 5326.0
Subtract 66 from 68 to get 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 11

On to step 6:
26 divided by 11 is 2 with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 53262.0
If we take 22 away from 26, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
If we divide 40 by 11, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 53262.3
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
When dividing 70 by 11, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 53262.36
If we take 66 away from 70, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
When dividing 40 by 11, we get 3 with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 53262.363
Subtracting 33 from 40 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
11 can be fit into 70 6 times, resulting in a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 53262.3636
If we subtract 66 from 70, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 53262.36363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
11 goes into 70 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 53262.363636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
11 goes into 40 3 times with a remainder of 7.
The next digit of our result is 3. 
Result so far: 53262.3636363
Subtract 33 from 40 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 14:
When dividing 70 by 11, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 53262.36363636
The remainder is 4 after subtracting 66 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 53262.36363636 with a balance of 4e-09.