971795 ÷ 65 
Our goal is to divide 971795 by 65.

Let's proceed to step 1:
The number 65 fits into 9 0 times, leaving 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 (7) from the dividend after 9, then repeat: 97 / 65

Advancing to step 2:
If we divide 97 by 65, we get 1 and a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 65 from 97 and we're left with 32.
Fetch the next digit (1) from the dividend, attach it to 32 and continue: 321 / 65

Advancing to step 3:
321 divided by 65 is 4 with a remainder of 61.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we take 260 away from 321, we end up with 61.
Fetch the next digit (7) from the dividend, attach it to 61 and continue: 617 / 65

Going ahead to step 4:
617 divided by 65 is 9 with a remainder of 32.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
The remainder is 32 after subtracting 585 from 617.
Take the next digit (9) from the dividend and append it to 32, then repeat: 329 / 65

Moving on to step 5:
When dividing 329 by 65, we get 5 with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 1495.0
If we take 325 away from 329, we end up with 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 65

Advancing to step 6:
If we divide 45 by 65, we get 0 and a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 14950.0
Subtracting 0 from 45 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 7:
450 divided by 65 is 6 with a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 14950.6
If we take 390 away from 450, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
If we divide 600 by 65, we get 9 and a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 14950.69
Subtract 585 from 600 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 9:
65 can be fit into 150 2 times, resulting in a remainder of 20.
Write down 2 as next digit of the result. 
Result so far: 14950.692
Deduct 130 from 150 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 10:
When dividing 200 by 65, we get 3 with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 14950.6923
Deduct 195 from 200 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
When dividing 50 by 65, we get 0 with a remainder of 50.
The next digit of our result is 0. 
Result so far: 14950.6923
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 12:
65 can be fit into 500 7 times, resulting in a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 14950.692307
If we subtract 455 from 500, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
When dividing 450 by 65, we get 6 with a remainder of 60.
Put 6 as the next digit of the answer. 
Result so far: 14950.6923076
Subtracting 390 from 450 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 14:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 14950.69230769
Subtracting 585 from 600 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 14950.69230769 and a remainder of 1.5e-08.