We're dividing 350874 by 16 
Our goal is to divide 350874 by 16.

Going ahead to step 1:
16 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 16

Advancing to step 2:
16 goes into 35 2 times with 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.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 16

Step 3:
30 divided by 16 is 1 with a remainder of 14.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtracting 16 from 30 leaves us with 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 16

Advancing to step 4:
16 can be fit into 148 9 times, resulting in a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 219.0
Subtract 144 from 148 to get 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 16

On to step 5:
The number 16 fits into 47 2 times, leaving a remainder of 15.
The next digit of our result is 2. 
Result so far: 2192.0
If we take 32 away from 47, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 16

Advancing to step 6:
The number 16 fits into 154 9 times, leaving a remainder of 10.
Use 9 as the next digit of our solution. 
Result so far: 21929.0
The remainder is 10 after subtracting 144 from 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
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: 21929.6
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 8:
40 divided by 16 is 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 21929.62
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 9:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 21929.625
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 10:
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: 21929.625
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.

Step 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 21929.625
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.

After the division, we end up with 21929.625 and a remainder of 0.0.