We're dividing 349145 by 16 
Let's see how many times 16 fits into 349145.

On to step 1:
16 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 16

Going ahead to step 2:
When dividing 34 by 16, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 32 from 34 and we're left with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 16

Advancing to step 3:
16 can be fit into 29 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 13 after subtracting 16 from 29.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 16

Step 4:
16 can be fit into 131 8 times, resulting in a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 218.0
If we subtract 128 from 131, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 16

Moving on to step 5:
16 goes into 34 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 2182.0
The remainder is 2 after subtracting 32 from 34.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 16

Step 6:
16 goes into 25 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 21821.0
Subtract 16 from 25 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
If we divide 90 by 16, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 21821.5
Subtracting 80 from 90 leaves us 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:
If we divide 100 by 16, we get 6 and a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 21821.56
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.

Step 9:
16 goes into 40 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 21821.562
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.

On to step 10:
80 divided by 16 is 5 with a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 21821.5625
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.

Advancing to step 11:
When dividing 0 by 16, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 21821.5625
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.

Advancing to step 12:
When dividing 0 by 16, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 21821.5625
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 21821.5625 and a remainder of 0.0.