Let's divide 378214 by 15
We're looking to find how many times 15 goes into 378214.

Step 1:
When dividing 3 by 15, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 15

On to step 2:
The number 15 fits into 37 2 times, leaving a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 7 after subtracting 30 from 37.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 15

Moving on to step 3:
15 goes into 78 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Subtract 75 from 78 to get 3.
Take the next digit (2) from the dividend and append it to 3, then repeat: 32 / 15

On to step 4:
15 goes into 32 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 252.0
The remainder is 2 after subtracting 30 from 32.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 15

Moving on to step 5:
15 goes into 21 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 2521.0
If we subtract 15 from 21, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 15

Advancing to step 6:
64 divided by 15 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 25214.0
The remainder is 4 after subtracting 60 from 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
15 can be fit into 40 2 times, resulting in a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 25214.2
If we take 30 away from 40, 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.
Put 6 as the next digit of the answer. 
Result so far: 25214.26
Subtract 90 from 100 to 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.

Step 9:
If we divide 100 by 15, we get 6 and a remainder of 10.
The next digit of our result is 6. 
Result so far: 25214.266
Subtract 90 from 100 to 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.

The final outcome is 25214.266, with a leftover of 0.001.