We look at the division of 296609 by 16 
We want to figure out the number of times 296609 can be divided by 16.

On to step 1:
If we divide 2 by 16, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (9) from the dividend after 2, then repeat: 29 / 16

On to step 2:
If we divide 29 by 16, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 13 after subtracting 16 from 29.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 16

Advancing to step 3:
If we divide 136 by 16, we get 8 and a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Deduct 128 from 136 and we're left with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 16

On to step 4:
When dividing 86 by 16, we get 5 with a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 185.0
Subtract 80 from 86 to get 6.
Grab the next digit (0) from the dividend, add it to 6, then carry on: 60 / 16

On to step 5:
16 can be fit into 60 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 1853.0
Subtracting 48 from 60 leaves us with 12.
Take the next digit (9) from the dividend and append it to 12, then repeat: 129 / 16

Advancing to step 6:
16 goes into 129 8 times with a remainder of 1.
The next digit of our result is 8. 
Result so far: 18538.0
Deduct 128 from 129 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
The number 16 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 18538.0
The remainder is 10 after subtracting 0 from 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:
When dividing 100 by 16, we get 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 18538.06
Deduct 96 from 100 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.

Advancing to step 9:
40 divided by 16 is 2 with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 18538.062
If we take 32 away from 40, we end up 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.

Going ahead to step 10:
If we divide 80 by 16, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 18538.0625
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.

Moving on to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 18538.0625
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.

On to step 12:
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: 18538.0625
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.

After the division, we end up with 18538.0625 and a remainder of 0.0.