We're dividing 269601 by 16 
We're looking to find how many times 16 goes into 269601.

Moving on to step 1:
When dividing 2 by 16, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 16

On to step 2:
26 divided by 16 is 1 with a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 16 from 26 to get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 16

Step 3:
The number 16 fits into 109 6 times, leaving a remainder of 13.
The number 6 becomes the next digit in our result. 
Result so far: 16.0
If we take 96 away from 109, we end up with 13.
Include the next digit (6) from the dividend after 13, then repeat: 136 / 16

Going ahead to step 4:
If we divide 136 by 16, we get 8 and a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 168.0
Deduct 128 from 136 and we're left with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 16

Advancing to step 5:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 1685.0
Subtract 80 from 80 to get 0.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 16

Advancing to step 6:
16 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 16850.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
16 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 16850.0
Deduct 0 from 10 and we're left 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.

Going ahead to step 8:
When dividing 100 by 16, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 16850.06
If we subtract 96 from 100, we get 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:
The number 16 fits into 40 2 times, leaving a remainder of 8.
The next digit of our result is 2. 
Result so far: 16850.062
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.

Moving on to step 10:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 16850.0625
Deduct 80 from 80 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.

Let's proceed to step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 16850.0625
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.

Going ahead 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: 16850.0625
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.

Our division results in 16850.0625 with a remaining 0.0.