We're dividing 953399 by 97 
Let's see how many times 97 fits into 953399.

Going ahead to step 1:
97 goes into 9 0 times 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.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 97

Moving on to step 2:
When dividing 95 by 97, we get 0 with a remainder of 95.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 95 after subtracting 0 from 95.
Fetch the next digit (3) from the dividend, attach it to 95 and continue: 953 / 97

On to step 3:
If we divide 953 by 97, we get 9 and a remainder of 80.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 873 from 953 leaves us with 80.
Fetch the next digit (3) from the dividend, attach it to 80 and continue: 803 / 97

Let's proceed to step 4:
When dividing 803 by 97, we get 8 with a remainder of 27.
Write down 8 as next digit of the result. 
Result so far: 98.0
The remainder is 27 after subtracting 776 from 803.
Take the next digit (9) from the dividend and append it to 27, then repeat: 279 / 97

Going ahead to step 5:
97 goes into 279 2 times with a remainder of 85.
Use 2 as the next digit of our solution. 
Result so far: 982.0
Subtract 194 from 279 to get 85.
Append the next digit (9) from the dividend to 85 and continue with: 859 / 97

Going ahead to step 6:
97 goes into 859 8 times with a remainder of 83.
The number 8 becomes the next digit in our result. 
Result so far: 9828.0
If we subtract 776 from 859, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Step 7:
97 goes into 830 8 times with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 9828.8
The remainder is 54 after subtracting 776 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 8:
The number 97 fits into 540 5 times, leaving a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 9828.85
The remainder is 55 after subtracting 485 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 9:
If we divide 550 by 97, we get 5 and a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 9828.855
Subtract 485 from 550 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

The final outcome is 9828.855, with a leftover of 0.0065.