We're dividing 15916 by 81 
We want to divide 15916 by 81.

Advancing to step 1:
81 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 81

Step 2:
81 goes into 15 0 times with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Bring next digit (9) of the dividend behind the 15 and repeat the process: 159 / 81

Moving on to step 3:
159 divided by 81 is 1 with a remainder of 78.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 81 from 159, we get 78.
Append the next digit (1) from the dividend to 78 and continue with: 781 / 81

Moving on to step 4:
81 can be fit into 781 9 times, resulting in a remainder of 52.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 52 after subtracting 729 from 781.
Append the next digit (6) from the dividend to 52 and continue with: 526 / 81

Step 5:
526 divided by 81 is 6 with a remainder of 40.
The next digit of our result is 6. 
Result so far: 196.0
The remainder is 40 after subtracting 486 from 526.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 6:
The number 81 fits into 400 4 times, leaving a remainder of 76.
Use 4 as the next digit of our solution. 
Result so far: 196.4
Subtract 324 from 400 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Step 7:
When dividing 760 by 81, we get 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 196.49
The remainder is 31 after subtracting 729 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 8:
When dividing 310 by 81, we get 3 with a remainder of 67.
The next digit of our result is 3. 
Result so far: 196.493
The remainder is 67 after subtracting 243 from 310.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 9:
81 goes into 670 8 times with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 196.4938
The remainder is 22 after subtracting 648 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 10:
If we divide 220 by 81, we get 2 and a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 196.49382
If we subtract 162 from 220, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 11:
When dividing 580 by 81, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 196.493827
Subtract 567 from 580 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
130 divided by 81 is 1 with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 196.4938271
If we take 81 away from 130, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 13:
490 divided by 81 is 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 196.49382716
The remainder is 4 after subtracting 486 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 196.49382716 with a balance of 4e-09.