We divide 586405 by 11
We want to figure out the number of times 586405 can be divided by 11.

Going ahead to step 1:
11 goes into 5 0 times with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 11

Let's proceed to step 2:
58 divided by 11 is 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtract 55 from 58 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 11

Let's proceed to step 3:
36 divided by 11 is 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
Subtracting 33 from 36 leaves us with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 11

Going ahead to step 4:
34 divided by 11 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 533.0
Deduct 33 from 34 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 11

On to step 5:
11 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 5330.0
The remainder is 10 after subtracting 0 from 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 11

Let's proceed to step 6:
The number 11 fits into 105 9 times, leaving a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 53309.0
The remainder is 6 after subtracting 99 from 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
11 goes into 60 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 53309.5
If we take 55 away from 60, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 53309.54
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
11 goes into 60 5 times with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 53309.545
Subtracting 55 from 60 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
11 goes into 50 4 times with a remainder of 6.
The next digit of our result is 4. 
Result so far: 53309.5454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 11:
60 divided by 11 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 53309.54545
The remainder is 5 after subtracting 55 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
If we divide 50 by 11, we get 4 and a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 53309.545454
Subtracting 44 from 50 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 13:
If we divide 60 by 11, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 53309.5454545
If we subtract 55 from 60, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 14:
11 can be fit into 50 4 times, resulting in a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 53309.54545454
The remainder is 6 after subtracting 44 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 53309.54545454 with a balance of 6e-09.