We look at the division of 640626 by 63 
We want to divide 640626 by 63.

Step 1:
63 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 63

Let's proceed to step 2:
64 divided by 63 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 63 from 64 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 63

Moving on to step 3:
10 divided by 63 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 63

Step 4:
106 divided by 63 is 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Subtract 63 from 106 to get 43.
Take the next digit (2) from the dividend and append it to 43, then repeat: 432 / 63

Going ahead to step 5:
63 can be fit into 432 6 times, resulting in a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 1016.0
Subtract 378 from 432 to get 54.
Bring next digit (6) of the dividend behind the 54 and repeat the process: 546 / 63

Moving on to step 6:
63 goes into 546 8 times with a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 10168.0
The remainder is 42 after subtracting 504 from 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 7:
If we divide 420 by 63, we get 6 and a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 10168.6
If we subtract 378 from 420, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 8:
63 can be fit into 420 6 times, resulting in a remainder of 42.
The next digit of our result is 6. 
Result so far: 10168.66
The remainder is 42 after subtracting 378 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 10168.66, and the remainder is 0.042.