214642 divided by 15 
Our goal is to divide 214642 by 15.

Step 1:
15 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 15

Moving on to step 2:
When dividing 21 by 15, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 15 from 21 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 15

On to step 3:
15 goes into 64 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 14.0
The remainder is 4 after subtracting 60 from 64.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 15

Moving on to step 4:
The number 15 fits into 46 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 143.0
Subtract 45 from 46 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 15

On to step 5:
When dividing 14 by 15, we get 0 with a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 1430.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (2) from the dividend after 14, then repeat: 142 / 15

Moving on to step 6:
The number 15 fits into 142 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 14309.0
The remainder is 7 after subtracting 135 from 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 7:
70 divided by 15 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 14309.4
If we take 60 away from 70, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 15, we get 6 with a remainder of 10.
The next digit of our result is 6. 
Result so far: 14309.46
If we subtract 90 from 100, 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.

Let's proceed to step 9:
15 goes into 100 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 14309.466
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 14309.466 with a remainder of 0.001.