557348 ÷ 22 
We want to figure out the number of times 557348 can be divided by 22.

On to step 1:
22 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 22

Moving on to step 2:
The number 22 fits into 55 2 times, leaving a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 44 away from 55, we end up with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 22

Step 3:
117 divided by 22 is 5 with a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtract 110 from 117 to get 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 22

Advancing to step 4:
When dividing 73 by 22, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 253.0
If we take 66 away from 73, we end up with 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 22

Moving on to step 5:
22 can be fit into 74 3 times, resulting in a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 2533.0
Subtract 66 from 74 to get 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 22

Advancing to step 6:
If we divide 88 by 22, we get 4 and a remainder of 0.
The next digit of our result is 4. 
Result so far: 25334.0
Deduct 88 from 88 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.

Advancing to step 7:
22 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 25334.0
If we take 0 away from 0, we end up 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 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 25334.0
If we subtract 0 from 0, we 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.

The final result is 25334.0 with a remainder of 0.0.