Let's divide 35354 by 16
We want to figure out the number of times 35354 can be divided by 16.

On to step 1:
When dividing 3 by 16, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 16

On to step 2:
16 can be fit into 35 2 times, resulting in a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 32 from 35, we get 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 16

On to step 3:
16 goes into 33 2 times with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Subtracting 32 from 33 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 16

Advancing to step 4:
If we divide 15 by 16, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 220.0
Subtracting 0 from 15 leaves us with 15.
Include the next digit (4) from the dividend after 15, then repeat: 154 / 16

Moving on to step 5:
16 goes into 154 9 times with a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 2209.0
Subtract 144 from 154 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.

Step 6:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2209.6
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 7:
16 goes into 40 2 times with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 2209.62
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.

Let's proceed to step 8:
80 divided by 16 is 5 with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 2209.625
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.

Step 9:
16 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 2209.625
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.

On to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 2209.625
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 2209.625 with a remaining 0.0.