514923 ÷ 16 
We're looking to find how many times 16 goes into 514923.

Advancing to step 1:
When dividing 5 by 16, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 16

On to step 2:
The number 16 fits into 51 3 times, leaving a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
The remainder is 3 after subtracting 48 from 51.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 16

Step 3:
The number 16 fits into 34 2 times, leaving a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 32.0
If we subtract 32 from 34, we get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 16

On to step 4:
16 goes into 29 1 times with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 321.0
Subtract 16 from 29 to get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 16

Advancing to step 5:
The number 16 fits into 132 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 3218.0
Deduct 128 from 132 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 16

Advancing to step 6:
When dividing 43 by 16, we get 2 with a remainder of 11.
Write down 2 as next digit of the result. 
Result so far: 32182.0
If we subtract 32 from 43, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
110 divided by 16 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 32182.6
If we subtract 96 from 110, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 8:
16 goes into 140 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 32182.68
The remainder is 12 after subtracting 128 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 9:
16 goes into 120 7 times with a remainder of 8.
The next digit of our result is 7. 
Result so far: 32182.687
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:
The number 16 fits into 80 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 32182.6875
Deduct 80 from 80 and we're left 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 11:
16 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 32182.6875
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.

Going ahead to step 12:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 32182.6875
The remainder is 0 after subtracting 0 from 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 32182.6875 with a remainder of 0.0.