We're dividing 827242 by 78 
We want to figure out the number of times 827242 can be divided by 78.

Step 1:
78 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Include the next digit (2) from the dividend after 8, then repeat: 82 / 78

Let's proceed to step 2:
82 divided by 78 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 78 from 82 leaves us with 4.
Include the next digit (7) from the dividend after 4, then repeat: 47 / 78

Moving on to step 3:
47 divided by 78 is 0 with a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 47 after subtracting 0 from 47.
Include the next digit (2) from the dividend after 47, then repeat: 472 / 78

Moving on to step 4:
472 divided by 78 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 106.0
Deduct 468 from 472 and we're left with 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 78

Advancing to step 5:
78 goes into 44 0 times with a remainder of 44.
The number 0 becomes the next digit in our result. 
Result so far: 1060.0
Deduct 0 from 44 and we're left with 44.
Fetch the next digit (2) from the dividend, attach it to 44 and continue: 442 / 78

Moving on to step 6:
442 divided by 78 is 5 with a remainder of 52.
The number 5 becomes the next digit in our result. 
Result so far: 10605.0
Subtracting 390 from 442 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 7:
When dividing 520 by 78, we get 6 with a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 10605.6
Subtracting 468 from 520 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
When dividing 520 by 78, we get 6 with a remainder of 52.
The next digit of our result is 6. 
Result so far: 10605.66
Subtracting 468 from 520 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The final outcome is 10605.66, with a leftover of 0.052.