We divide 503965 by 45
Our goal is to divide 503965 by 45.

On to step 1:
45 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 45

Moving on to step 2:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 45 from 50 leaves us with 5.
Append the next digit (3) from the dividend to 5 and continue with: 53 / 45

Going ahead to step 3:
If we divide 53 by 45, we get 1 and a remainder of 8.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 45 from 53 and we're left with 8.
Fetch the next digit (9) from the dividend, attach it to 8 and continue: 89 / 45

On to step 4:
45 can be fit into 89 1 times, resulting in a remainder of 44.
Record the quotient 1 as the next digit in the result. 
Result so far: 111.0
The remainder is 44 after subtracting 45 from 89.
Fetch the next digit (6) from the dividend, attach it to 44 and continue: 446 / 45

Step 5:
446 divided by 45 is 9 with a remainder of 41.
The next digit of our result is 9. 
Result so far: 1119.0
The remainder is 41 after subtracting 405 from 446.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 45

Let's proceed to step 6:
When dividing 415 by 45, we get 9 with a remainder of 10.
Record the quotient 9 as the next digit in the result. 
Result so far: 11199.0
Subtract 405 from 415 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
100 divided by 45 is 2 with a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 11199.2
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
45 goes into 100 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 11199.22
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 11199.22, and the remainder is 0.01.