We look at the division of 516391 by 16 
We want to figure out the number of times 516391 can be divided by 16.

Let's proceed to step 1:
16 goes into 5 0 times with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 16

Advancing to step 2:
When dividing 51 by 16, we get 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we subtract 48 from 51, we get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 16

Advancing to step 3:
36 divided by 16 is 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
If we subtract 32 from 36, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 16

On to step 4:
If we divide 43 by 16, we get 2 and a remainder of 11.
The next digit of our result is 2. 
Result so far: 322.0
If we subtract 32 from 43, we get 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 16

On to step 5:
If we divide 119 by 16, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 3227.0
If we subtract 112 from 119, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 16

Step 6:
The number 16 fits into 71 4 times, leaving a remainder of 7.
The number 4 becomes the next digit in our result. 
Result so far: 32274.0
If we subtract 64 from 71, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 7:
16 can be fit into 70 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 32274.4
Subtracting 64 from 70 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
If we divide 60 by 16, we get 3 and a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 32274.43
Subtract 48 from 60 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
When dividing 120 by 16, we get 7 with a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 32274.437
Deduct 112 from 120 and we're left 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.

Let's proceed to step 10:
80 divided by 16 is 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 32274.4375
Subtract 80 from 80 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.

Moving on to step 11:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 32274.4375
If we subtract 0 from 0, 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 12:
0 divided by 16 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 32274.4375
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.

In conclusion, the division gives 32274.4375 with a balance of 0.0.