We're dividing 630503 by 75 
We want to figure out the number of times 630503 can be divided by 75.

Going ahead to step 1:
75 can be fit into 6 0 times, resulting in a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 75

Advancing to step 2:
63 divided by 75 is 0 with a remainder of 63.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 63 to get 63.
Fetch the next digit (0) from the dividend, attach it to 63 and continue: 630 / 75

Moving on to step 3:
630 divided by 75 is 8 with a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 600 from 630 leaves us with 30.
Append the next digit (5) from the dividend to 30 and continue with: 305 / 75

Moving on to step 4:
75 goes into 305 4 times with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 84.0
Subtracting 300 from 305 leaves us with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 75

Going ahead to step 5:
The number 75 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 840.0
If we subtract 0 from 50, we get 50.
Include the next digit (3) from the dividend after 50, then repeat: 503 / 75

On to step 6:
503 divided by 75 is 6 with a remainder of 53.
Put 6 as the next digit of the answer. 
Result so far: 8406.0
If we subtract 450 from 503, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 7:
If we divide 530 by 75, we get 7 and a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 8406.7
Deduct 525 from 530 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.

Advancing to step 8:
If we divide 50 by 75, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 8406.7
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 8406.706
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 8406.7066
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 8406.7066 with a remainder of 0.0005.