105214 ÷ 16 
We want to figure out the number of times 105214 can be divided by 16.

Moving on to step 1:
1 divided by 16 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 16

Going ahead to step 2:
The number 16 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Fetch the next digit (5) from the dividend, attach it to 10 and continue: 105 / 16

Going ahead to step 3:
16 can be fit into 105 6 times, resulting in a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 9 after subtracting 96 from 105.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 16

Going ahead to step 4:
If we divide 92 by 16, we get 5 and a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
Deduct 80 from 92 and we're left with 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 16

On to step 5:
When dividing 121 by 16, we get 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 657.0
Deduct 112 from 121 and we're left with 9.
Append the next digit (4) from the dividend to 9 and continue with: 94 / 16

On to step 6:
94 divided by 16 is 5 with a remainder of 14.
Put 5 as the next digit of the answer. 
Result so far: 6575.0
Deduct 80 from 94 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 7:
16 goes into 140 8 times with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6575.8
If we subtract 128 from 140, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 8:
16 can be fit into 120 7 times, resulting in a remainder of 8.
Write down 7 as next digit of the result. 
Result so far: 6575.87
If we subtract 112 from 120, 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.

Going ahead to step 9:
16 can be fit into 80 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 6575.875
Deduct 80 from 80 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.

Let's proceed to step 10:
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: 6575.875
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.

Advancing to step 11:
The number 16 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 6575.875
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.

The final outcome is 6575.875, with a leftover of 0.0.