We look at the division of 557689 by 22 
Our goal is to divide 557689 by 22.

On to step 1:
22 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 22

On to step 2:
55 divided by 22 is 2 with a remainder of 11.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 11 after subtracting 44 from 55.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 22

Step 3:
117 divided by 22 is 5 with a remainder of 7.
The next digit of our result is 5. 
Result so far: 25.0
Subtract 110 from 117 to get 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 22

Going ahead to step 4:
22 goes into 76 3 times with a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 253.0
Deduct 66 from 76 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 22

Step 5:
108 divided by 22 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 2534.0
If we take 88 away from 108, we end up with 20.
Take the next digit (9) from the dividend and append it to 20, then repeat: 209 / 22

Advancing to step 6:
209 divided by 22 is 9 with a remainder of 11.
Put 9 as the next digit of the answer. 
Result so far: 25349.0
The remainder is 11 after subtracting 198 from 209.
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:
When dividing 110 by 22, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 25349.5
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.

Moving on to step 8:
If we divide 0 by 22, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25349.5
Subtracting 0 from 0 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.

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: 25349.5
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.

Our division results in 25349.5 with a remaining 0.0.