We look at the division of 838465 by 78 
We're looking to find how many times 78 goes into 838465.

Advancing to step 1:
The number 78 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 78

Advancing to step 2:
83 divided by 78 is 1 with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 78 from 83 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 78

On to step 3:
When dividing 58 by 78, we get 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 58 leaves us with 58.
Take the next digit (4) from the dividend and append it to 58, then repeat: 584 / 78

Step 4:
584 divided by 78 is 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
The remainder is 38 after subtracting 546 from 584.
Include the next digit (6) from the dividend after 38, then repeat: 386 / 78

Let's proceed to step 5:
78 goes into 386 4 times with a remainder of 74.
Write down 4 as next digit of the result. 
Result so far: 1074.0
The remainder is 74 after subtracting 312 from 386.
Fetch the next digit (5) from the dividend, attach it to 74 and continue: 745 / 78

Step 6:
745 divided by 78 is 9 with a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 10749.0
The remainder is 43 after subtracting 702 from 745.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 7:
78 can be fit into 430 5 times, resulting in a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 10749.5
If we subtract 390 from 430, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
78 goes into 400 5 times with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 10749.55
Subtract 390 from 400 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.

In conclusion, the division gives 10749.55 with a balance of 0.01.