We're dividing 269851 by 16 
We're looking to find how many times 16 goes into 269851.

Advancing to step 1:
If we divide 2 by 16, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 16

Let's proceed to step 2:
16 can be fit into 26 1 times, resulting in a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 16 from 26 and we're left with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 16

Step 3:
If we divide 109 by 16, we get 6 and a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
Deduct 96 from 109 and we're left with 13.
Bring next digit (8) of the dividend behind the 13 and repeat the process: 138 / 16

Moving on to step 4:
138 divided by 16 is 8 with a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 168.0
Deduct 128 from 138 and we're left with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 16

Step 5:
If we divide 105 by 16, we get 6 and a remainder of 9.
The next digit of our result is 6. 
Result so far: 1686.0
If we subtract 96 from 105, we get 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 16

Going ahead to step 6:
16 can be fit into 91 5 times, resulting in a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 16865.0
Deduct 80 from 91 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
If we divide 110 by 16, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 16865.6
Subtract 96 from 110 to 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.

Advancing 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: 16865.68
If we subtract 128 from 140, we 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:
If we divide 120 by 16, we get 7 and a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 16865.687
Subtract 112 from 120 to 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.

Moving on to step 10:
When dividing 80 by 16, we get 5 with a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 16865.6875
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 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16865.6875
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.

Step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 16865.6875
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.

The final outcome is 16865.6875, with a leftover of 0.0.