We divide 577903 by 45
We want to divide 577903 by 45.

On to step 1:
The number 45 fits into 5 0 times, leaving a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 45

Step 2:
45 goes into 57 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 57 to get 12.
Fetch the next digit (7) from the dividend, attach it to 12 and continue: 127 / 45

Let's proceed to step 3:
45 goes into 127 2 times with a remainder of 37.
Write down 2 as next digit of the result. 
Result so far: 12.0
If we take 90 away from 127, we end up with 37.
Fetch the next digit (9) from the dividend, attach it to 37 and continue: 379 / 45

Advancing to step 4:
When dividing 379 by 45, we get 8 with a remainder of 19.
Write down 8 as next digit of the result. 
Result so far: 128.0
The remainder is 19 after subtracting 360 from 379.
Append the next digit (0) from the dividend to 19 and continue with: 190 / 45

Let's proceed to step 5:
The number 45 fits into 190 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 1284.0
If we subtract 180 from 190, we get 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 45

Going ahead to step 6:
103 divided by 45 is 2 with a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 12842.0
Subtract 90 from 103 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
If we divide 130 by 45, we get 2 and a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 12842.2
If we subtract 90 from 130, we 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 8:
If we divide 400 by 45, we get 8 and a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 12842.28
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 9:
45 goes into 400 8 times with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 12842.288
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.

The quotient of the division is 12842.288, and the remainder is 0.004.