We look at the division of 550753 by 63 
We want to figure out the number of times 550753 can be divided by 63.

On to step 1:
The number 63 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 63

Step 2:
63 can be fit into 55 0 times, resulting in a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Bring next digit (0) of the dividend behind the 55 and repeat the process: 550 / 63

Moving on to step 3:
When dividing 550 by 63, we get 8 with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 504 from 550 and we're left with 46.
Take the next digit (7) from the dividend and append it to 46, then repeat: 467 / 63

Going ahead to step 4:
The number 63 fits into 467 7 times, leaving a remainder of 26.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
Subtract 441 from 467 to get 26.
Include the next digit (5) from the dividend after 26, then repeat: 265 / 63

Going ahead to step 5:
63 goes into 265 4 times with a remainder of 13.
Write down 4 as next digit of the result. 
Result so far: 874.0
Subtracting 252 from 265 leaves us with 13.
Fetch the next digit (3) from the dividend, attach it to 13 and continue: 133 / 63

Advancing to step 6:
133 divided by 63 is 2 with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 8742.0
Deduct 126 from 133 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
63 goes into 70 1 times with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 8742.1
Deduct 63 from 70 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
When dividing 70 by 63, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 8742.11
The remainder is 7 after subtracting 63 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 8742.11, with a leftover of 0.007.