Let's divide 306569 by 16
We want to divide 306569 by 16.

Advancing to step 1:
3 divided by 16 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 16

Advancing to step 2:
When dividing 30 by 16, we get 1 with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 16 from 30 leaves us with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 16

Advancing to step 3:
16 goes into 146 9 times with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 19.0
If we subtract 144 from 146, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 16

On to step 4:
When dividing 25 by 16, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 191.0
Subtract 16 from 25 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 16

Advancing to step 5:
The number 16 fits into 96 6 times, leaving a remainder of 0.
The next digit of our result is 6. 
Result so far: 1916.0
Subtract 96 from 96 to get 0.
Include the next digit (9) from the dividend after 0, then repeat: 9 / 16

On to step 6:
9 divided by 16 is 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 19160.0
If we take 0 away from 9, we end up 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.

Advancing to step 7:
90 divided by 16 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 19160.5
If we take 80 away from 90, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
100 divided by 16 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 19160.56
If we take 96 away from 100, we end up 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.

Going ahead to step 9:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 19160.562
If we subtract 32 from 40, 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.

Advancing to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 19160.5625
If we take 80 away from 80, we end up 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.

On to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 19160.5625
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.

Going ahead to step 12:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 19160.5625
If we take 0 away from 0, we end up 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.

Our division results in 19160.5625 with a remaining 0.0.