Let's divide 214871 by 15
We want to figure out the number of times 214871 can be divided by 15.

Step 1:
15 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 15

On to step 2:
The number 15 fits into 21 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 6 after subtracting 15 from 21.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 15

Moving on to step 3:
64 divided by 15 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 4 after subtracting 60 from 64.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 15

Moving on to step 4:
The number 15 fits into 48 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 143.0
Subtract 45 from 48 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 15

On to step 5:
15 can be fit into 37 2 times, resulting in a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 1432.0
The remainder is 7 after subtracting 30 from 37.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 15

On to step 6:
71 divided by 15 is 4 with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 14324.0
Subtract 60 from 71 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
When dividing 110 by 15, we get 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 14324.7
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 8:
15 can be fit into 50 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 14324.73
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 9:
50 divided by 15 is 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 14324.733
Subtracting 45 from 50 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 14324.733, and the remainder is 0.0005.