825089 ÷ 97 
Our goal is to divide 825089 by 97.

Going ahead to step 1:
97 goes into 8 0 times with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 97

Let's proceed to step 2:
82 divided by 97 is 0 with 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.
Fetch the next digit (5) from the dividend, attach it to 82 and continue: 825 / 97

Advancing to step 3:
825 divided by 97 is 8 with a remainder of 49.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 776 from 825 and we're left with 49.
Fetch the next digit (0) from the dividend, attach it to 49 and continue: 490 / 97

On to step 4:
When dividing 490 by 97, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 85.0
Subtracting 485 from 490 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 97

Step 5:
97 goes into 58 0 times with a remainder of 58.
The next digit of our result is 0. 
Result so far: 850.0
Subtract 0 from 58 to get 58.
Append the next digit (9) from the dividend to 58 and continue with: 589 / 97

Advancing to step 6:
If we divide 589 by 97, we get 6 and a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 8506.0
If we subtract 582 from 589, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
The number 97 fits into 70 0 times, leaving a remainder of 70.
Put 0 as the next digit of the answer. 
Result so far: 8506.0
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
If we divide 700 by 97, we get 7 and a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 8506.07
The remainder is 21 after subtracting 679 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
If we divide 210 by 97, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 8506.072
If we subtract 194 from 210, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 10:
160 divided by 97 is 1 with a remainder of 63.
The number 1 becomes the next digit in our result. 
Result so far: 8506.0721
Subtract 97 from 160 to get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Moving on to step 11:
97 goes into 630 6 times with a remainder of 48.
The next digit of our result is 6. 
Result so far: 8506.07216
Subtract 582 from 630 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 12:
If we divide 480 by 97, we get 4 and a remainder of 92.
The next digit of our result is 4. 
Result so far: 8506.072164
If we take 388 away from 480, we end up with 92.
Since there are no more digits in the dividend, we add a zero to the remainder making it 920, and continue the process.

Advancing to step 13:
97 can be fit into 920 9 times, resulting in a remainder of 47.
Record the quotient 9 as the next digit in the result. 
Result so far: 8506.0721649
If we subtract 873 from 920, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 14:
If we divide 470 by 97, we get 4 and a remainder of 82.
Write down 4 as next digit of the result. 
Result so far: 8506.07216494
Subtracting 388 from 470 leaves us with 82.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

In conclusion, the division gives 8506.07216494 with a balance of 8.2e-08.