We're dividing 99591 by 97 
We're looking to find how many times 97 goes into 99591.

On to step 1:
The number 97 fits into 9 0 times, leaving a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Fetch the next digit (9) from the dividend, attach it to 9 and continue: 99 / 97

Moving on to step 2:
97 can be fit into 99 1 times, resulting in a remainder of 2.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 97 from 99 and we're left with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 97

Step 3:
97 goes into 25 0 times with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 25 after subtracting 0 from 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 97

Let's proceed to step 4:
97 can be fit into 259 2 times, resulting in a remainder of 65.
Write down 2 as next digit of the result. 
Result so far: 102.0
Subtracting 194 from 259 leaves us with 65.
Fetch the next digit (1) from the dividend, attach it to 65 and continue: 651 / 97

On to step 5:
651 divided by 97 is 6 with a remainder of 69.
Use 6 as the next digit of our solution. 
Result so far: 1026.0
If we take 582 away from 651, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 6:
When dividing 690 by 97, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 1026.7
Subtract 679 from 690 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 97, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1026.71
If we take 97 away from 110, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
If we divide 130 by 97, we get 1 and a remainder of 33.
Put 1 as the next digit of the answer. 
Result so far: 1026.711
Subtracting 97 from 130 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 1026.711 with a balance of 0.0033.