353250 ÷ 16 
We're looking to find how many times 16 goes into 353250.

Advancing to step 1:
16 can be fit into 3 0 times, resulting in a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 16

Step 2:
When dividing 35 by 16, we get 2 with a remainder of 3.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 32 from 35 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 16

Step 3:
When dividing 33 by 16, we get 2 with a remainder of 1.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 1 after subtracting 32 from 33.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 16

Step 4:
If we divide 12 by 16, we get 0 and a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 220.0
Subtract 0 from 12 to get 12.
Take the next digit (5) from the dividend and append it to 12, then repeat: 125 / 16

Let's proceed to step 5:
125 divided by 16 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 2207.0
If we take 112 away from 125, we end up with 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 16

Step 6:
16 can be fit into 130 8 times, resulting in a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 22078.0
Subtracting 128 from 130 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
If we divide 20 by 16, we get 1 and a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 22078.1
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.

On to step 8:
40 divided by 16 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 22078.12
Subtracting 32 from 40 leaves us 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.

On to step 9:
16 goes into 80 5 times with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 22078.125
The remainder is 0 after subtracting 80 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 22078.125
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.

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: 22078.125
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.

Our division results in 22078.125 with a remaining 0.0.