We're dividing 109942 by 16 
Let's see how many times 16 fits into 109942.

Going ahead to step 1:
If we divide 1 by 16, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 16

Step 2:
The number 16 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 16

Advancing to step 3:
When dividing 109 by 16, we get 6 with a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 96 away from 109, we end up with 13.
Append the next digit (9) from the dividend to 13 and continue with: 139 / 16

Step 4:
139 divided by 16 is 8 with a remainder of 11.
Use 8 as the next digit of our solution. 
Result so far: 68.0
Subtracting 128 from 139 leaves us with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 16

Going ahead to step 5:
If we divide 114 by 16, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 687.0
If we subtract 112 from 114, we get 2.
Bring next digit (2) of the dividend behind the 2 and repeat the process: 22 / 16

Advancing to step 6:
16 can be fit into 22 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 6871.0
Subtracting 16 from 22 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
60 divided by 16 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 6871.3
If we take 48 away from 60, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 6871.37
The remainder is 8 after subtracting 112 from 120.
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:
16 can be fit into 80 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6871.375
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.

Let's proceed 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: 6871.375
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 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6871.375
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.

In conclusion, the division gives 6871.375 with a balance of 0.0.