219735 divided by 16 
We want to figure out the number of times 219735 can be divided by 16.

Going ahead to step 1:
The number 16 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 16

Let's proceed to step 2:
When dividing 21 by 16, we get 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 16 from 21 leaves us with 5.
Take the next digit (9) from the dividend and append it to 5, then repeat: 59 / 16

Going ahead to step 3:
16 can be fit into 59 3 times, resulting in a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 48 from 59 and we're left with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 16

Let's proceed to step 4:
16 can be fit into 117 7 times, resulting in a remainder of 5.
The next digit of our result is 7. 
Result so far: 137.0
The remainder is 5 after subtracting 112 from 117.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 16

Step 5:
16 can be fit into 53 3 times, resulting in a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 1373.0
Subtracting 48 from 53 leaves us with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 16

Step 6:
16 can be fit into 55 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 13733.0
Subtracting 48 from 55 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
16 can be fit into 70 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 13733.4
The remainder is 6 after subtracting 64 from 70.
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:
When dividing 60 by 16, we get 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 13733.43
Deduct 48 from 60 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
16 goes into 120 7 times with a remainder of 8.
Record the quotient 7 as the next digit in the result. 
Result so far: 13733.437
If we subtract 112 from 120, we get 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:
When dividing 80 by 16, we get 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 13733.4375
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.

Step 11:
If we divide 0 by 16, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 13733.4375
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 12:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13733.4375
Deduct 0 from 0 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.

The final result is 13733.4375 with a remainder of 0.0.