We're dividing 557365 by 22 
Let's see how many times 22 fits into 557365.

Going ahead to step 1:
22 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 22

On to step 2:
22 can be fit into 55 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 44 from 55, we get 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 22

Advancing to step 3:
22 goes into 117 5 times with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 25.0
Deduct 110 from 117 and we're left with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 22

Moving on to step 4:
If we divide 73 by 22, we get 3 and a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 253.0
Deduct 66 from 73 and we're left with 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 22

Let's proceed to step 5:
When dividing 76 by 22, we get 3 with a remainder of 10.
The next digit of our result is 3. 
Result so far: 2533.0
The remainder is 10 after subtracting 66 from 76.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 22

Let's proceed to step 6:
22 can be fit into 105 4 times, resulting in a remainder of 17.
The number 4 becomes the next digit in our result. 
Result so far: 25334.0
Subtracting 88 from 105 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 7:
22 can be fit into 170 7 times, resulting in a remainder of 16.
Use 7 as the next digit of our solution. 
Result so far: 25334.7
If we take 154 away from 170, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
The number 22 fits into 160 7 times, leaving a remainder of 6.
The next digit of our result is 7. 
Result so far: 25334.77
Subtract 154 from 160 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final result is 25334.77 with a remainder of 0.006.