We look at the division of 306949 by 16 
We want to figure out the number of times 306949 can be divided by 16.

On to step 1:
If we divide 3 by 16, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 16

Advancing to step 2:
If we divide 30 by 16, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 16 from 30 leaves us with 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 16

Moving on to step 3:
If we divide 146 by 16, we get 9 and a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtracting 144 from 146 leaves us with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 16

Step 4:
If we divide 29 by 16, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 191.0
Deduct 16 from 29 and we're left with 13.
Grab the next digit (4) from the dividend, add it to 13, then carry on: 134 / 16

On to step 5:
134 divided by 16 is 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 1918.0
If we subtract 128 from 134, we get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 16

Let's proceed to step 6:
16 goes into 69 4 times with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 19184.0
If we take 64 away from 69, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 7:
The number 16 fits into 50 3 times, leaving a remainder of 2.
The number 3 becomes the next digit in our result. 
Result so far: 19184.3
Subtract 48 from 50 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
The number 16 fits into 20 1 times, leaving a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 19184.31
Deduct 16 from 20 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 16, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 19184.312
Deduct 32 from 40 and we're left with 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:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 19184.3125
Subtract 80 from 80 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 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: 19184.3125
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.

Moving on to step 12:
If we divide 0 by 16, we get 0 and a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 19184.3125
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.

The quotient of the division is 19184.3125, and the remainder is 0.0.