We're dividing 8218306 by 378 
We want to divide 8218306 by 378.

Advancing to step 1:
The number 378 fits into 8 0 times, leaving 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.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 378

On to step 2:
The number 378 fits into 82 0 times, leaving a remainder of 82.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 82, we get 82.
Take the next digit (1) from the dividend and append it to 82, then repeat: 821 / 378

Advancing to step 3:
821 divided by 378 is 2 with a remainder of 65.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 756 from 821 and we're left with 65.
Fetch the next digit (8) from the dividend, attach it to 65 and continue: 658 / 378

Let's proceed to step 4:
When dividing 658 by 378, we get 1 with a remainder of 280.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Subtract 378 from 658 to get 280.
Fetch the next digit (3) from the dividend, attach it to 280 and continue: 2803 / 378

Moving on to step 5:
378 can be fit into 2803 7 times, resulting in a remainder of 157.
Use 7 as the next digit of our solution. 
Result so far: 217.0
The remainder is 157 after subtracting 2646 from 2803.
Bring next digit (0) of the dividend behind the 157 and repeat the process: 1570 / 378

Step 6:
When dividing 1570 by 378, we get 4 with a remainder of 58.
Use 4 as the next digit of our solution. 
Result so far: 2174.0
Subtracting 1512 from 1570 leaves us with 58.
Bring next digit (6) of the dividend behind the 58 and repeat the process: 586 / 378

Advancing to step 7:
378 goes into 586 1 times with a remainder of 208.
Use 1 as the next digit of our solution. 
Result so far: 21741.0
If we take 378 away from 586, we end up with 208.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2080, and continue the process.

On to step 8:
When dividing 2080 by 378, we get 5 with a remainder of 190.
Record the quotient 5 as the next digit in the result. 
Result so far: 21741.5
If we subtract 1890 from 2080, we get 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1900, and continue the process.

Let's proceed to step 9:
The number 378 fits into 1900 5 times, leaving a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 21741.55
Deduct 1890 from 1900 and we're left 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.

In conclusion, the division gives 21741.55 with a balance of 0.01.