We're dividing 19875 by 16 
We're looking to find how many times 16 goes into 19875.

Advancing to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 16

Going ahead to step 2:
19 divided by 16 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 16 from 19, we get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 16

Step 3:
16 can be fit into 38 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtracting 32 from 38 leaves us with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 16

Step 4:
The number 16 fits into 67 4 times, leaving a remainder of 3.
Record the quotient 4 as the next digit in the result. 
Result so far: 124.0
Subtracting 64 from 67 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 16

Step 5:
When dividing 35 by 16, we get 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 1242.0
Deduct 32 from 35 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 6:
If we divide 30 by 16, we get 1 and a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1242.1
Subtracting 16 from 30 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 7:
The number 16 fits into 140 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1242.18
If we take 128 away from 140, we end up 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.

On to step 8:
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: 1242.187
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.

Going ahead to step 9:
16 goes into 80 5 times with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 1242.1875
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 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 1242.1875
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.

On to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 1242.1875
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 outcome is 1242.1875, with a leftover of 0.0.