We look at the division of 821358 by 78 
We're looking to find how many times 78 goes into 821358.

Moving on to step 1:
If we divide 8 by 78, we get 0 and a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 78

Going ahead to step 2:
78 goes into 82 1 times with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 78 from 82, we get 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 78

Going ahead to step 3:
78 goes into 41 0 times with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtracting 0 from 41 leaves us with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 78

Advancing to step 4:
78 can be fit into 413 5 times, resulting in a remainder of 23.
Use 5 as the next digit of our solution. 
Result so far: 105.0
Deduct 390 from 413 and we're left with 23.
Include the next digit (5) from the dividend after 23, then repeat: 235 / 78

On to step 5:
235 divided by 78 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1053.0
If we take 234 away from 235, we end up with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 78

On to step 6:
18 divided by 78 is 0 with a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 10530.0
Deduct 0 from 18 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 7:
78 can be fit into 180 2 times, resulting in a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 10530.2
Deduct 156 from 180 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 8:
78 goes into 240 3 times with a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 10530.23
Subtract 234 from 240 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 78 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 10530.23
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 10:
78 goes into 600 7 times with a remainder of 54.
The next digit of our result is 7. 
Result so far: 10530.2307
If we take 546 away from 600, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 11:
The number 78 fits into 540 6 times, leaving a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 10530.23076
Subtracting 468 from 540 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 12:
The number 78 fits into 720 9 times, leaving a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 10530.230769
If we take 702 away from 720, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 13:
The number 78 fits into 180 2 times, leaving a remainder of 24.
Write down 2 as next digit of the result. 
Result so far: 10530.2307692
The remainder is 24 after subtracting 156 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 14:
240 divided by 78 is 3 with a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 10530.23076923
The remainder is 6 after subtracting 234 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 10530.23076923 with a balance of 6e-09.