We look at the division of 782648 by 16 
We're looking to find how many times 16 goes into 782648.

Going ahead to step 1:
16 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 16

Going ahead to step 2:
16 goes into 78 4 times with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 64 from 78 and we're left with 14.
Take the next digit (2) from the dividend and append it to 14, then repeat: 142 / 16

Let's proceed to step 3:
If we divide 142 by 16, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 48.0
Subtracting 128 from 142 leaves us with 14.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 16

Moving on to step 4:
146 divided by 16 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 489.0
Subtract 144 from 146 to get 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 16

Advancing to step 5:
If we divide 24 by 16, we get 1 and a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 4891.0
Deduct 16 from 24 and we're left with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 16

Let's proceed to step 6:
When dividing 88 by 16, we get 5 with a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 48915.0
Subtracting 80 from 88 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.

On to step 7:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 48915.5
If we subtract 80 from 80, we 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.

Let's proceed to step 8:
If we divide 0 by 16, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 48915.5
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.

Let's proceed to step 9:
When dividing 0 by 16, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 48915.5
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 48915.5 with a balance of 0.0.