217116 divided by 16 
We want to figure out the number of times 217116 can be divided by 16.

Advancing to step 1:
2 divided by 16 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 16

Advancing to step 2:
When dividing 21 by 16, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 16 away from 21, we end up with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 16

On to step 3:
If we divide 57 by 16, we get 3 and a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 13.0
If we take 48 away from 57, we end up with 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 16

Going ahead to step 4:
If we divide 91 by 16, we get 5 and a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
The remainder is 11 after subtracting 80 from 91.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 16

Let's proceed to step 5:
16 can be fit into 111 6 times, resulting in a remainder of 15.
Record the quotient 6 as the next digit in the result. 
Result so far: 1356.0
If we take 96 away from 111, we end up with 15.
Bring next digit (6) of the dividend behind the 15 and repeat the process: 156 / 16

Advancing to step 6:
156 divided by 16 is 9 with a remainder of 12.
The next digit of our result is 9. 
Result so far: 13569.0
The remainder is 12 after subtracting 144 from 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
The number 16 fits into 120 7 times, leaving a remainder of 8.
The next digit of our result is 7. 
Result so far: 13569.7
Subtracting 112 from 120 leaves us 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.

Step 8:
When dividing 80 by 16, we get 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 13569.75
If we subtract 80 from 80, 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.

Moving on to step 9:
16 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 13569.75
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.

On to step 10:
0 divided by 16 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13569.75
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.

The quotient of the division is 13569.75, and the remainder is 0.0.