We're dividing 765164 by 97 
Our goal is to divide 765164 by 97.

Moving on to step 1:
The number 97 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 97

Moving on to step 2:
97 goes into 76 0 times with a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Append the next digit (5) from the dividend to 76 and continue with: 765 / 97

Advancing to step 3:
97 can be fit into 765 7 times, resulting in a remainder of 86.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 679 from 765 leaves us with 86.
Take the next digit (1) from the dividend and append it to 86, then repeat: 861 / 97

On to step 4:
97 can be fit into 861 8 times, resulting in a remainder of 85.
The next digit of our result is 8. 
Result so far: 78.0
The remainder is 85 after subtracting 776 from 861.
Grab the next digit (6) from the dividend, add it to 85, then carry on: 856 / 97

Going ahead to step 5:
97 can be fit into 856 8 times, resulting in a remainder of 80.
Record the quotient 8 as the next digit in the result. 
Result so far: 788.0
Subtract 776 from 856 to get 80.
Include the next digit (4) from the dividend after 80, then repeat: 804 / 97

Moving on to step 6:
97 goes into 804 8 times with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 7888.0
If we subtract 776 from 804, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
97 can be fit into 280 2 times, resulting in a remainder of 86.
The next digit of our result is 2. 
Result so far: 7888.2
The remainder is 86 after subtracting 194 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Advancing to step 8:
860 divided by 97 is 8 with a remainder of 84.
Put 8 as the next digit of the answer. 
Result so far: 7888.28
Subtract 776 from 860 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

On to step 9:
When dividing 840 by 97, we get 8 with a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 7888.288
Subtract 776 from 840 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The quotient of the division is 7888.288, and the remainder is 0.0064.