We look at the division of 825667 by 80 
We're looking to find how many times 80 goes into 825667.

Moving on to step 1:
The number 80 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of 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 / 80

Advancing to step 2:
If we divide 82 by 80, we get 1 and a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 80 from 82, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 80

Moving on to step 3:
80 goes into 25 0 times with a remainder of 25.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 25 to get 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 80

Advancing to step 4:
If we divide 256 by 80, we get 3 and a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 103.0
Subtract 240 from 256 to get 16.
Include the next digit (6) from the dividend after 16, then repeat: 166 / 80

On to step 5:
The number 80 fits into 166 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 1032.0
If we subtract 160 from 166, we get 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 80

Let's proceed to step 6:
80 can be fit into 67 0 times, resulting in a remainder of 67.
Put 0 as the next digit of the answer. 
Result so far: 10320.0
If we take 0 away from 67, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 7:
The number 80 fits into 670 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 10320.8
Subtracting 640 from 670 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 8:
300 divided by 80 is 3 with a remainder of 60.
Use 3 as the next digit of our solution. 
Result so far: 10320.83
The remainder is 60 after subtracting 240 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 9:
If we divide 600 by 80, we get 7 and a remainder of 40.
The next digit of our result is 7. 
Result so far: 10320.837
Subtracting 560 from 600 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
If we divide 400 by 80, we get 5 and a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 10320.8375
Subtracting 400 from 400 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
The number 80 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 10320.8375
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 12:
0 divided by 80 is 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 10320.8375
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 10320.8375 with a balance of 0.0.