81578 ÷ 16 
We want to divide 81578 by 16.

Step 1:
8 divided by 16 is 0 with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (1) from the dividend, attach it to 8 and continue: 81 / 16

On to step 2:
The number 16 fits into 81 5 times, leaving a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we subtract 80 from 81, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 16

Advancing to step 3:
If we divide 15 by 16, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we take 0 away from 15, we end up with 15.
Include the next digit (7) from the dividend after 15, then repeat: 157 / 16

On to step 4:
When dividing 157 by 16, we get 9 with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 509.0
If we take 144 away from 157, we end up with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 16

Let's proceed to step 5:
When dividing 138 by 16, we get 8 with a remainder of 10.
The next digit of our result is 8. 
Result so far: 5098.0
If we subtract 128 from 138, 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.

Step 6:
When dividing 100 by 16, we get 6 with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 5098.6
If we subtract 96 from 100, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 5098.62
Subtracting 32 from 40 leaves us 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.

Advancing to step 8:
If we divide 80 by 16, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5098.625
Subtracting 80 from 80 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 5098.625
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5098.625
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 5098.625 with a balance of 0.0.