We look at the division of 584661 by 22 
Our goal is to divide 584661 by 22.

Advancing to step 1:
22 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 22

Going ahead to step 2:
22 can be fit into 58 2 times, resulting in a remainder of 14.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 44 from 58 and we're left with 14.
Grab the next digit (4) from the dividend, add it to 14, then carry on: 144 / 22

Going ahead to step 3:
The number 22 fits into 144 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 26.0
The remainder is 12 after subtracting 132 from 144.
Fetch the next digit (6) from the dividend, attach it to 12 and continue: 126 / 22

On to step 4:
126 divided by 22 is 5 with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 265.0
Deduct 110 from 126 and we're left with 16.
Take the next digit (6) from the dividend and append it to 16, then repeat: 166 / 22

Moving on to step 5:
The number 22 fits into 166 7 times, leaving a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 2657.0
If we take 154 away from 166, we end up with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 22

Going ahead to step 6:
22 can be fit into 121 5 times, resulting in a remainder of 11.
The next digit of our result is 5. 
Result so far: 26575.0
If we take 110 away from 121, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
110 divided by 22 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 26575.5
Subtracting 110 from 110 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
22 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 26575.5
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
When dividing 0 by 22, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 26575.5
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 26575.5 and a remainder of 0.0.