Let's divide 105986 by 16
We want to figure out the number of times 105986 can be divided by 16.

Step 1:
16 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 16

Moving on to step 2:
16 can be fit into 10 0 times, resulting in a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 16

Step 3:
When dividing 105 by 16, we get 6 with a remainder of 9.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtracting 96 from 105 leaves us with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 16

On to step 4:
16 goes into 99 6 times with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 66.0
The remainder is 3 after subtracting 96 from 99.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 16

Let's proceed to step 5:
38 divided by 16 is 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 662.0
The remainder is 6 after subtracting 32 from 38.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 16

Moving on to step 6:
The number 16 fits into 66 4 times, leaving a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 6624.0
If we subtract 64 from 66, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
16 can be fit into 20 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 6624.1
Subtracting 16 from 20 leaves us 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.

Moving on to step 8:
The number 16 fits into 40 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 6624.12
The remainder is 8 after subtracting 32 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 6624.125
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.

Going ahead to step 10:
When dividing 0 by 16, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 6624.125
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 11:
0 divided by 16 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6624.125
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.

The final result is 6624.125 with a remainder of 0.0.