We're dividing 269331 by 16 
We're looking to find how many times 16 goes into 269331.

Going ahead to step 1:
If we divide 2 by 16, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 16

Let's proceed to step 2:
If we divide 26 by 16, we get 1 and a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 10 after subtracting 16 from 26.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 16

Moving on to step 3:
If we divide 109 by 16, we get 6 and a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we take 96 away from 109, we end up with 13.
Take the next digit (3) from the dividend and append it to 13, then repeat: 133 / 16

Moving on to step 4:
When dividing 133 by 16, we get 8 with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 168.0
Subtract 128 from 133 to get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 16

Step 5:
16 can be fit into 53 3 times, resulting in a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 1683.0
If we subtract 48 from 53, we get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 16

Moving on to step 6:
16 can be fit into 51 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 16833.0
If we subtract 48 from 51, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
16 can be fit into 30 1 times, resulting in a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 16833.1
The remainder is 14 after subtracting 16 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
16 can be fit into 140 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 16833.18
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.

Advancing to step 9:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 16833.187
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.

Advancing to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 16833.1875
Subtracting 80 from 80 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.

Step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 16833.1875
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.

Going ahead to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The next digit of our result is 0. 
Result so far: 16833.1875
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 quotient of the division is 16833.1875, and the remainder is 0.0.