We look at the division of 574041 by 45 
Let's see how many times 45 fits into 574041.

Going ahead to step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 45

On to step 2:
When dividing 57 by 45, we get 1 with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 45 from 57 and we're left with 12.
Fetch the next digit (4) from the dividend, attach it to 12 and continue: 124 / 45

Step 3:
When dividing 124 by 45, we get 2 with a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 90 from 124, we get 34.
Grab the next digit (0) from the dividend, add it to 34, then carry on: 340 / 45

Advancing to step 4:
If we divide 340 by 45, we get 7 and a remainder of 25.
The next digit of our result is 7. 
Result so far: 127.0
If we subtract 315 from 340, we get 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 45

On to step 5:
45 can be fit into 254 5 times, resulting in a remainder of 29.
The next digit of our result is 5. 
Result so far: 1275.0
If we take 225 away from 254, we end up with 29.
Bring next digit (1) of the dividend behind the 29 and repeat the process: 291 / 45

Step 6:
291 divided by 45 is 6 with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 12756.0
If we take 270 away from 291, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
The number 45 fits into 210 4 times, leaving a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 12756.4
If we take 180 away from 210, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
300 divided by 45 is 6 with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 12756.46
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 12756.466
If we take 270 away from 300, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 12756.466 with a remaining 0.003.