We look at the division of 63053 by 15 
Our goal is to divide 63053 by 15.

On to step 1:
15 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 15

Advancing to step 2:
If we divide 63 by 15, we get 4 and a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Subtracting 60 from 63 leaves us with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 15

Going ahead to step 3:
If we divide 30 by 15, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 42.0
The remainder is 0 after subtracting 30 from 30.
Bring next digit (5) of the dividend behind the 0 and repeat the process: 5 / 15

On to step 4:
5 divided by 15 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 420.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 15

Going ahead to step 5:
53 divided by 15 is 3 with a remainder of 8.
Record the quotient 3 as the next digit in the result. 
Result so far: 4203.0
If we take 45 away from 53, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 6:
If we divide 80 by 15, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4203.5
If we take 75 away from 80, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 4203.53
Subtract 45 from 50 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 4203.533
Deduct 45 from 50 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

After the division, we end up with 4203.533 and a remainder of 0.0005.