We're dividing 788554 by 16 
We want to divide 788554 by 16.

On to step 1:
When dividing 7 by 16, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 16

Going ahead to step 2:
16 can be fit into 78 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 14 after subtracting 64 from 78.
Grab the next digit (8) from the dividend, add it to 14, then carry on: 148 / 16

Going ahead to step 3:
16 goes into 148 9 times with a remainder of 4.
The next digit of our result is 9. 
Result so far: 49.0
Subtracting 144 from 148 leaves us with 4.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 16

Step 4:
The number 16 fits into 45 2 times, leaving a remainder of 13.
The next digit of our result is 2. 
Result so far: 492.0
Subtracting 32 from 45 leaves us with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 16

On to step 5:
The number 16 fits into 135 8 times, leaving a remainder of 7.
The number 8 becomes the next digit in our result. 
Result so far: 4928.0
If we subtract 128 from 135, we get 7.
Take the next digit (4) from the dividend and append it to 7, then repeat: 74 / 16

Step 6:
If we divide 74 by 16, we get 4 and a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 49284.0
Subtract 64 from 74 to 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.

On to step 7:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 49284.6
Subtract 96 from 100 to 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.

Let's proceed to step 8:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 49284.62
The remainder is 8 after subtracting 32 from 40.
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 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 49284.625
The remainder is 0 after subtracting 80 from 80.
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.
The next digit of our result is 0. 
Result so far: 49284.625
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.

Moving on to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 49284.625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 49284.625 with a remainder of 0.0.