503512 ÷ 48 
We're looking to find how many times 48 goes into 503512.

Going ahead to step 1:
When dividing 5 by 48, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 48

Step 2:
48 goes into 50 1 times with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 2 after subtracting 48 from 50.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 48

Advancing to step 3:
If we divide 23 by 48, we get 0 and a remainder of 23.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 23 to get 23.
Take the next digit (5) from the dividend and append it to 23, then repeat: 235 / 48

Step 4:
235 divided by 48 is 4 with a remainder of 43.
The next digit of our result is 4. 
Result so far: 104.0
If we subtract 192 from 235, we get 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 48

Moving on to step 5:
431 divided by 48 is 8 with a remainder of 47.
The next digit of our result is 8. 
Result so far: 1048.0
Subtracting 384 from 431 leaves us with 47.
Grab the next digit (2) from the dividend, add it to 47, then carry on: 472 / 48

Let's proceed to step 6:
48 can be fit into 472 9 times, resulting in a remainder of 40.
Write down 9 as next digit of the result. 
Result so far: 10489.0
Subtract 432 from 472 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.

Moving on to step 7:
When dividing 400 by 48, we get 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 10489.8
If we take 384 away from 400, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
48 goes into 160 3 times with a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 10489.83
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 9:
48 goes into 160 3 times with a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 10489.833
Subtracting 144 from 160 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 10489.833, and the remainder is 0.0016.