We look at the division of 575608 by 45 
We're looking to find how many times 45 goes into 575608.

Let's proceed to step 1:
The number 45 fits into 5 0 times, leaving 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.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 45

Step 2:
If we divide 57 by 45, we get 1 and a remainder of 12.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 45 from 57 and we're left with 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 45

Advancing to step 3:
The number 45 fits into 125 2 times, leaving a remainder of 35.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 90 from 125 and we're left with 35.
Fetch the next digit (6) from the dividend, attach it to 35 and continue: 356 / 45

Going ahead to step 4:
356 divided by 45 is 7 with a remainder of 41.
Put 7 as the next digit of the answer. 
Result so far: 127.0
Deduct 315 from 356 and we're left with 41.
Include the next digit (0) from the dividend after 41, then repeat: 410 / 45

Step 5:
If we divide 410 by 45, we get 9 and a remainder of 5.
The number 9 becomes the next digit in our result. 
Result so far: 1279.0
The remainder is 5 after subtracting 405 from 410.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 45

Step 6:
58 divided by 45 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 12791.0
Deduct 45 from 58 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 45, we get 2 and a remainder of 40.
Put 2 as the next digit of the answer. 
Result so far: 12791.2
Subtracting 90 from 130 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.

Going ahead to step 8:
400 divided by 45 is 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 12791.28
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
400 divided by 45 is 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 12791.288
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.

In conclusion, the division gives 12791.288 with a balance of 0.004.