Let's divide 63264 by 53
We're looking to find how many times 53 goes into 63264.

Moving on to step 1:
53 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the 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 / 53

Let's proceed to step 2:
If we divide 63 by 53, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 53 from 63, we get 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 53

Moving on to step 3:
53 goes into 102 1 times with a remainder of 49.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtracting 53 from 102 leaves us with 49.
Append the next digit (6) from the dividend to 49 and continue with: 496 / 53

Step 4:
496 divided by 53 is 9 with a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 119.0
If we take 477 away from 496, we end up with 19.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 53

Going ahead to step 5:
194 divided by 53 is 3 with a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 1193.0
Deduct 159 from 194 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 6:
350 divided by 53 is 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 1193.6
Deduct 318 from 350 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 7:
53 goes into 320 6 times with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 1193.66
If we subtract 318 from 320, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 1193.66, with a leftover of 0.002.