We divide 217425 by 16
We want to figure out the number of times 217425 can be divided by 16.

Let's proceed to step 1:
The number 16 fits into 2 0 times, leaving a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 16

Advancing to step 2:
The number 16 fits into 21 1 times, leaving a remainder of 5.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 16 from 21 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 16

On to step 3:
16 can be fit into 57 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 48 from 57 and we're left with 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 16

Going ahead to step 4:
94 divided by 16 is 5 with a remainder of 14.
The number 5 becomes the next digit in our result. 
Result so far: 135.0
Subtract 80 from 94 to get 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 16

Moving on to step 5:
16 can be fit into 142 8 times, resulting in a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 1358.0
If we take 128 away from 142, we end up with 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 16

Let's proceed to step 6:
When dividing 145 by 16, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 13589.0
The remainder is 1 after subtracting 144 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
When dividing 10 by 16, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 13589.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
100 divided by 16 is 6 with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 13589.06
If we subtract 96 from 100, 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.

Moving on to step 9:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 13589.062
Subtracting 32 from 40 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.

Going ahead to step 10:
80 divided by 16 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 13589.0625
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 11:
16 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13589.0625
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.

Advancing to step 12:
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: 13589.0625
Deduct 0 from 0 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.

After the division, we end up with 13589.0625 and a remainder of 0.0.