We look at the division of 630976 by 15 
We want to divide 630976 by 15.

On to step 1:
The number 15 fits into 6 0 times, leaving 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.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 15

Let's proceed to step 2:
63 divided by 15 is 4 with a remainder of 3.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 60 from 63, we get 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 15

Moving on to step 3:
If we divide 30 by 15, we get 2 and a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Deduct 30 from 30 and we're left with 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 15

Advancing to step 4:
9 divided by 15 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 420.0
Subtract 0 from 9 to get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 15

Let's proceed to step 5:
When dividing 97 by 15, we get 6 with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 4206.0
The remainder is 7 after subtracting 90 from 97.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 15

Moving on to step 6:
If we divide 76 by 15, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 42065.0
The remainder is 1 after subtracting 75 from 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
If we divide 10 by 15, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 42065.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 42065.06
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
When dividing 100 by 15, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 42065.066
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 42065.066, and the remainder is 0.001.