We look at the division of 510100 by 63 
We want to figure out the number of times 510100 can be divided by 63.

Step 1:
63 goes into 5 0 times with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 63

Moving on to step 2:
51 divided by 63 is 0 with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 51, we end up with 51.
Take the next digit (0) from the dividend and append it to 51, then repeat: 510 / 63

Going ahead to step 3:
The number 63 fits into 510 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 8.0
Subtracting 504 from 510 leaves us with 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 63

Step 4:
The number 63 fits into 61 0 times, leaving a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 80.0
The remainder is 61 after subtracting 0 from 61.
Grab the next digit (0) from the dividend, add it to 61, then carry on: 610 / 63

On to step 5:
When dividing 610 by 63, we get 9 with a remainder of 43.
Write down 9 as next digit of the result. 
Result so far: 809.0
If we subtract 567 from 610, we get 43.
Append the next digit (0) from the dividend to 43 and continue with: 430 / 63

Moving on to step 6:
63 can be fit into 430 6 times, resulting in a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 8096.0
Subtract 378 from 430 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 7:
63 goes into 520 8 times with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 8096.8
Subtracting 504 from 520 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.

On to step 8:
If we divide 160 by 63, we get 2 and a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 8096.82
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
340 divided by 63 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 8096.825
If we subtract 315 from 340, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
250 divided by 63 is 3 with a remainder of 61.
Put 3 as the next digit of the answer. 
Result so far: 8096.8253
If we subtract 189 from 250, we get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 11:
The number 63 fits into 610 9 times, leaving a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 8096.82539
Subtracting 567 from 610 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 12:
63 can be fit into 430 6 times, resulting in a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 8096.825396
If we subtract 378 from 430, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 13:
If we divide 520 by 63, we get 8 and a remainder of 16.
The next digit of our result is 8. 
Result so far: 8096.8253968
Deduct 504 from 520 and we're left 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 14:
160 divided by 63 is 2 with a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 8096.82539682
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

In conclusion, the division gives 8096.82539682 with a balance of 3.4e-08.