We're dividing 82565009 by 978 
We want to divide 82565009 by 978.

Going ahead to step 1:
978 goes into 8 0 times with a remainder of 8.
Use 0 as the next digit of our solution. 
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 / 978

Step 2:
If we divide 82 by 978, we get 0 and a remainder of 82.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 82, we get 82.
Grab the next digit (5) from the dividend, add it to 82, then carry on: 825 / 978

On to step 3:
978 goes into 825 0 times with a remainder of 825.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 825 after subtracting 0 from 825.
Take the next digit (6) from the dividend and append it to 825, then repeat: 8256 / 978

Advancing to step 4:
The number 978 fits into 8256 8 times, leaving a remainder of 432.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 7824 from 8256 leaves us with 432.
Append the next digit (5) from the dividend to 432 and continue with: 4325 / 978

Going ahead to step 5:
The number 978 fits into 4325 4 times, leaving a remainder of 413.
The next digit of our result is 4. 
Result so far: 84.0
Deduct 3912 from 4325 and we're left with 413.
Fetch the next digit (0) from the dividend, attach it to 413 and continue: 4130 / 978

Let's proceed to step 6:
The number 978 fits into 4130 4 times, leaving a remainder of 218.
Use 4 as the next digit of our solution. 
Result so far: 844.0
Subtracting 3912 from 4130 leaves us with 218.
Grab the next digit (0) from the dividend, add it to 218, then carry on: 2180 / 978

On to step 7:
978 can be fit into 2180 2 times, resulting in a remainder of 224.
The number 2 becomes the next digit in our result. 
Result so far: 8442.0
Deduct 1956 from 2180 and we're left with 224.
Fetch the next digit (9) from the dividend, attach it to 224 and continue: 2249 / 978

Advancing to step 8:
The number 978 fits into 2249 2 times, leaving a remainder of 293.
Write down 2 as next digit of the result. 
Result so far: 84422.0
The remainder is 293 after subtracting 1956 from 2249.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Step 9:
When dividing 2930 by 978, we get 2 with a remainder of 974.
Write down 2 as next digit of the result. 
Result so far: 84422.2
Deduct 1956 from 2930 and we're left with 974.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9740, and continue the process.

Advancing to step 10:
9740 divided by 978 is 9 with a remainder of 938.
The next digit of our result is 9. 
Result so far: 84422.29
Subtract 8802 from 9740 to get 938.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9380, and continue the process.

Going ahead to step 11:
9380 divided by 978 is 9 with a remainder of 578.
The next digit of our result is 9. 
Result so far: 84422.299
Deduct 8802 from 9380 and we're left with 578.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

In conclusion, the division gives 84422.299 with a balance of 0.0578.