We're dividing 965161 by 97 
We want to figure out the number of times 965161 can be divided by 97.

Advancing to step 1:
When dividing 9 by 97, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Include the next digit (6) from the dividend after 9, then repeat: 96 / 97

Moving on to step 2:
97 can be fit into 96 0 times, resulting in a remainder of 96.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 96, we get 96.
Grab the next digit (5) from the dividend, add it to 96, then carry on: 965 / 97

Moving on to step 3:
When dividing 965 by 97, we get 9 with a remainder of 92.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
Deduct 873 from 965 and we're left with 92.
Append the next digit (1) from the dividend to 92 and continue with: 921 / 97

Let's proceed to step 4:
When dividing 921 by 97, we get 9 with a remainder of 48.
Put 9 as the next digit of the answer. 
Result so far: 99.0
Subtracting 873 from 921 leaves us with 48.
Fetch the next digit (6) from the dividend, attach it to 48 and continue: 486 / 97

Step 5:
97 can be fit into 486 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 995.0
Subtract 485 from 486 to get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 97

Let's proceed to step 6:
If we divide 11 by 97, we get 0 and a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 9950.0
If we take 0 away from 11, we end up with 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:
97 goes into 110 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 9950.1
Subtracting 97 from 110 leaves us 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.

On to step 8:
97 goes into 130 1 times with a remainder of 33.
Record the quotient 1 as the next digit in the result. 
Result so far: 9950.11
Subtract 97 from 130 to get 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 9950.11 with a balance of 0.033.