Let's divide 585669 by 11
We're looking to find how many times 11 goes into 585669.

Moving on to step 1:
5 divided by 11 is 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 11

Advancing to step 2:
11 goes into 58 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 55 from 58, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 11

Going ahead to step 3:
When dividing 35 by 11, we get 3 with a remainder of 2.
The next digit of our result is 3. 
Result so far: 53.0
If we take 33 away from 35, we end up with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 11

Advancing to step 4:
11 goes into 26 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 532.0
Subtract 22 from 26 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 11

Going ahead to step 5:
If we divide 46 by 11, we get 4 and a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 5324.0
Subtract 44 from 46 to get 2.
Fetch the next digit (9) from the dividend, attach it to 2 and continue: 29 / 11

Let's proceed to step 6:
11 goes into 29 2 times with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 53242.0
Subtract 22 from 29 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 7:
11 goes into 70 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 53242.6
Subtract 66 from 70 to 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.

Going ahead to step 8:
11 goes into 40 3 times with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 53242.63
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.

On to step 9:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 53242.636
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.

Going ahead to step 10:
11 goes into 40 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 53242.6363
Deduct 33 from 40 and we're left 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.

Step 11:
If we divide 70 by 11, we get 6 and a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 53242.63636
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.

On to step 12:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 53242.636363
If we subtract 33 from 40, we 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 13:
When dividing 70 by 11, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 53242.6363636
Deduct 66 from 70 and we're left 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.

Going ahead to step 14:
40 divided by 11 is 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 53242.63636363
Deduct 33 from 40 and we're left 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.

In conclusion, the division gives 53242.63636363 with a balance of 7e-09.