556600 divided by 45 
We want to divide 556600 by 45.

Going ahead to step 1:
When dividing 5 by 45, we get 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 45

Moving on to step 2:
45 goes into 55 1 times with a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 55 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 45

Let's proceed to step 3:
If we divide 106 by 45, we get 2 and a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 90 from 106 and we're left with 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 45

Let's proceed to step 4:
166 divided by 45 is 3 with a remainder of 31.
Use 3 as the next digit of our solution. 
Result so far: 123.0
Subtract 135 from 166 to get 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 45

Advancing to step 5:
If we divide 310 by 45, we get 6 and a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 1236.0
Subtracting 270 from 310 leaves us with 40.
Append the next digit (0) from the dividend to 40 and continue with: 400 / 45

On to step 6:
45 can be fit into 400 8 times, resulting in a remainder of 40.
The next digit of our result is 8. 
Result so far: 12368.0
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 7:
The number 45 fits into 400 8 times, leaving a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 12368.8
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 12368.88
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 12368.88, with a leftover of 0.04.