We look at the division of 412763 by 15 
Our goal is to divide 412763 by 15.

On to step 1:
The number 15 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 15

Moving on to step 2:
41 divided by 15 is 2 with a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 11 after subtracting 30 from 41.
Fetch the next digit (2) from the dividend, attach it to 11 and continue: 112 / 15

On to step 3:
15 can be fit into 112 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Deduct 105 from 112 and we're left with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 15

Let's proceed to step 4:
When dividing 77 by 15, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 275.0
Subtract 75 from 77 to get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 15

Step 5:
If we divide 26 by 15, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 2751.0
The remainder is 11 after subtracting 15 from 26.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 15

Going ahead to step 6:
15 goes into 113 7 times with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 27517.0
If we subtract 105 from 113, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 7:
The number 15 fits into 80 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 27517.5
Subtract 75 from 80 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
50 divided by 15 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 27517.53
If we take 45 away from 50, we end up 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.

Step 9:
15 goes into 50 3 times with a remainder of 5.
The next digit of our result is 3. 
Result so far: 27517.533
The remainder is 5 after subtracting 45 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 27517.533, and the remainder is 0.0005.