Let's divide 349972 by 16
We want to figure out the number of times 349972 can be divided by 16.

Going ahead to step 1:
When dividing 3 by 16, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 16

Advancing 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
Subtract 32 from 34 to get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 16

Going ahead to step 3:
16 can be fit into 29 1 times, resulting in a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 21.0
Subtracting 16 from 29 leaves us with 13.
Bring next digit (9) of the dividend behind the 13 and repeat the process: 139 / 16

On to step 4:
16 can be fit into 139 8 times, resulting in a remainder of 11.
Write down 8 as next digit of the result. 
Result so far: 218.0
Deduct 128 from 139 and we're left with 11.
Include the next digit (7) from the dividend after 11, then repeat: 117 / 16

Moving on to step 5:
16 goes into 117 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 2187.0
Subtracting 112 from 117 leaves us with 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 16

Advancing to step 6:
16 goes into 52 3 times with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 21873.0
If we subtract 48 from 52, 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.

On 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: 21873.2
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.

Advancing to step 8:
16 goes into 80 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 21873.25
Subtract 80 from 80 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 9:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 21873.25
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:
The number 16 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 21873.25
If we take 0 away from 0, 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.

After the division, we end up with 21873.25 and a remainder of 0.0.