We look at the division of 4781 by 15 
We want to divide 4781 by 15.

Step 1:
When dividing 4 by 15, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 15

Moving on to step 2:
The number 15 fits into 47 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 2 after subtracting 45 from 47.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 15

On to step 3:
15 can be fit into 28 1 times, resulting in a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 31.0
If we take 15 away from 28, we end up with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 15

Advancing to step 4:
If we divide 131 by 15, we get 8 and a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 318.0
If we subtract 120 from 131, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 5:
15 goes into 110 7 times with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 318.7
The remainder is 5 after subtracting 105 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 6:
15 goes into 50 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 318.73
Deduct 45 from 50 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.

On to step 7:
When dividing 50 by 15, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 318.733
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 318.733 with a balance of 0.0005.