473960 ÷ 15 
We're looking to find how many times 15 goes into 473960.

On to step 1:
When dividing 4 by 15, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 15

On to step 2:
15 goes into 47 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 2 after subtracting 45 from 47.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 15

Moving on to step 3:
15 can be fit into 23 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 31.0
Deduct 15 from 23 and we're left with 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 15

Moving on to step 4:
89 divided by 15 is 5 with a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 315.0
If we take 75 away from 89, we end up with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 15

Let's proceed to step 5:
The number 15 fits into 146 9 times, leaving a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 3159.0
Subtract 135 from 146 to get 11.
Take the next digit (0) from the dividend and append it to 11, then repeat: 110 / 15

On to step 6:
15 goes into 110 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 31597.0
Deduct 105 from 110 and we're left 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.

Advancing to step 7:
If we divide 50 by 15, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 31597.3
Subtracting 45 from 50 leaves us 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.

Going ahead to step 8:
50 divided by 15 is 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 31597.33
If we subtract 45 from 50, we 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.

In conclusion, the division gives 31597.33 with a balance of 0.005.