Let's divide 34378 by 14
Let's see how many times 14 fits into 34378.

Going ahead to step 1:
When dividing 3 by 14, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 14

Going ahead to step 2:
14 goes into 34 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 28 from 34, we get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 14

Advancing to step 3:
63 divided by 14 is 4 with a remainder of 7.
The next digit of our result is 4. 
Result so far: 24.0
If we take 56 away from 63, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 14

On to step 4:
14 can be fit into 77 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 245.0
Deduct 70 from 77 and we're left with 7.
Include the next digit (8) from the dividend after 7, then repeat: 78 / 14

Moving on to step 5:
If we divide 78 by 14, we get 5 and a remainder of 8.
The next digit of our result is 5. 
Result so far: 2455.0
The remainder is 8 after subtracting 70 from 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 6:
80 divided by 14 is 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 2455.5
Subtracting 70 from 80 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.

Step 7:
14 can be fit into 100 7 times, resulting in a remainder of 2.
The next digit of our result is 7. 
Result so far: 2455.57
Subtract 98 from 100 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
20 divided by 14 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 2455.571
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 9:
14 goes into 60 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 2455.5714
If we take 56 away from 60, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
40 divided by 14 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2455.57142
If we subtract 28 from 40, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
If we divide 120 by 14, we get 8 and a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 2455.571428
If we take 112 away from 120, we end up 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.

Let's proceed to step 12:
14 goes into 80 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 2455.5714285
Subtracting 70 from 80 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.

Moving on to step 13:
14 goes into 100 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 2455.57142857
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

In conclusion, the division gives 2455.57142857 with a balance of 2e-09.