We look at the division of 460898 by 15 
We're looking to find how many times 15 goes into 460898.

Advancing to step 1:
15 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 15

Let's proceed to step 2:
15 can be fit into 46 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Subtract 45 from 46 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 15

Going ahead to step 3:
The number 15 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 30.0
The remainder is 10 after subtracting 0 from 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 15

Moving on to step 4:
When dividing 108 by 15, we get 7 with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 307.0
Deduct 105 from 108 and we're left with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 15

Let's proceed to step 5:
When dividing 39 by 15, we get 2 with a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 3072.0
Deduct 30 from 39 and we're left with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 15

Let's proceed to step 6:
98 divided by 15 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 30726.0
Deduct 90 from 98 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
When dividing 80 by 15, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 30726.5
Subtracting 75 from 80 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.

Moving on to step 8:
50 divided by 15 is 3 with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 30726.53
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:
50 divided by 15 is 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 30726.533
Subtract 45 from 50 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.

In conclusion, the division gives 30726.533 with a balance of 0.0005.