478213 ÷ 15 
Our goal is to divide 478213 by 15.

On to step 1:
4 divided by 15 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (7) of the dividend behind the 4 and repeat the process: 47 / 15

Going ahead to step 2:
The number 15 fits into 47 3 times, leaving a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 45 away from 47, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 15

On to step 3:
15 can be fit into 28 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 31.0
The remainder is 13 after subtracting 15 from 28.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 15

Moving on to step 4:
If we divide 132 by 15, we get 8 and a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 318.0
Subtract 120 from 132 to get 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 15

Advancing to step 5:
When dividing 121 by 15, we get 8 with a remainder of 1.
The number 8 becomes the next digit in our result. 
Result so far: 3188.0
Deduct 120 from 121 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 15

Moving on to step 6:
If we divide 13 by 15, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 31880.0
Deduct 0 from 13 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
If we divide 130 by 15, we get 8 and a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 31880.8
Subtracting 120 from 130 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:
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: 31880.86
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.

Advancing to step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 31880.866
If we take 90 away from 100, we end up 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.

The final result is 31880.866 with a remainder of 0.001.