86378 divided by 19 
We want to figure out the number of times 86378 can be divided by 19.

Moving on to step 1:
19 goes into 8 0 times with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 19

Moving on to step 2:
86 divided by 19 is 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 4.0
Subtract 76 from 86 to get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 19

Going ahead to step 3:
19 goes into 103 5 times with a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtract 95 from 103 to get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 19

Advancing to step 4:
When dividing 87 by 19, we get 4 with a remainder of 11.
Use 4 as the next digit of our solution. 
Result so far: 454.0
The remainder is 11 after subtracting 76 from 87.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 19

Let's proceed to step 5:
When dividing 118 by 19, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 4546.0
The remainder is 4 after subtracting 114 from 118.
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 6:
When dividing 40 by 19, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 4546.2
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 7:
19 goes into 20 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 4546.21
Subtracting 19 from 20 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
19 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4546.21
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.

Step 9:
100 divided by 19 is 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4546.2105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
19 goes into 50 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 4546.21052
Subtracting 38 from 50 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
19 can be fit into 120 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 4546.210526
Deduct 114 from 120 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.

Advancing to step 12:
If we divide 60 by 19, we get 3 and a remainder of 3.
The next digit of our result is 3. 
Result so far: 4546.2105263
If we take 57 away from 60, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 13:
If we divide 30 by 19, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 4546.21052631
Deduct 19 from 30 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 4546.21052631 with a balance of 1.1e-08.