584159 ÷ 11 
Our goal is to divide 584159 by 11.

Advancing to step 1:
If we divide 5 by 11, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 11

Going ahead to step 2:
58 divided by 11 is 5 with a remainder of 3.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 3 after subtracting 55 from 58.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 11

Moving on to step 3:
If we divide 34 by 11, we get 3 and a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 53.0
The remainder is 1 after subtracting 33 from 34.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 11

On to step 4:
The number 11 fits into 11 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 531.0
Subtracting 11 from 11 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 11

Moving on to step 5:
11 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 5310.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 11

Let's proceed to step 6:
The number 11 fits into 59 5 times, leaving a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 53105.0
If we take 55 away from 59, 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.

On to step 7:
11 can be fit into 40 3 times, resulting in a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 53105.3
If we take 33 away from 40, we end up 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 8:
If we divide 70 by 11, we get 6 and a remainder of 4.
The next digit of our result is 6. 
Result so far: 53105.36
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.

Moving on to step 9:
If we divide 40 by 11, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 53105.363
If we take 33 away from 40, we end up 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.

Advancing to step 10:
70 divided by 11 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 53105.3636
Subtracting 66 from 70 leaves us 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.

Let's proceed to step 11:
40 divided by 11 is 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 53105.36363
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.

On to step 12:
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: 53105.363636
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.

Step 13:
The number 11 fits into 40 3 times, leaving a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 53105.3636363
If we take 33 away from 40, we end up 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.

Moving on to step 14:
11 can be fit into 70 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 53105.36363636
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.

The quotient of the division is 53105.36363636, and the remainder is 4e-09.