We're dividing 276665 by 16 
We want to divide 276665 by 16.

Let's proceed to step 1:
2 divided by 16 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 16

Let's proceed to step 2:
27 divided by 16 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 16 from 27 and we're left with 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 16

Step 3:
When dividing 116 by 16, we get 7 with a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 17.0
Subtracting 112 from 116 leaves us with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 16

On to step 4:
The number 16 fits into 46 2 times, leaving a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 172.0
Subtract 32 from 46 to get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 16

On to step 5:
When dividing 146 by 16, we get 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 1729.0
The remainder is 2 after subtracting 144 from 146.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 16

Moving on to step 6:
16 goes into 25 1 times with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 17291.0
Deduct 16 from 25 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
When dividing 90 by 16, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 17291.5
Subtract 80 from 90 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 17291.56
The remainder is 4 after subtracting 96 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
16 goes into 40 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 17291.562
Subtract 32 from 40 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.

Going ahead 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: 17291.5625
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.
Use 0 as the next digit of our solution. 
Result so far: 17291.5625
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.

Moving on to 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: 17291.5625
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.

After the division, we end up with 17291.5625 and a remainder of 0.0.