We divide 102971 by 65
Our goal is to divide 102971 by 65.

Let's proceed to step 1:
1 divided by 65 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 65

Advancing to step 2:
When dividing 10 by 65, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 65

Let's proceed to step 3:
The number 65 fits into 102 1 times, leaving a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 37 after subtracting 65 from 102.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 65

Going ahead to step 4:
If we divide 379 by 65, we get 5 and a remainder of 54.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 325 from 379, we get 54.
Grab the next digit (7) from the dividend, add it to 54, then carry on: 547 / 65

Advancing to step 5:
If we divide 547 by 65, we get 8 and a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 158.0
Subtract 520 from 547 to get 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 65

Moving on to step 6:
If we divide 271 by 65, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 1584.0
If we take 260 away from 271, 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.

Let's proceed to step 7:
If we divide 110 by 65, we get 1 and a remainder of 45.
Record the quotient 1 as the next digit in the result. 
Result so far: 1584.1
Deduct 65 from 110 and we're left 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.

Advancing to step 8:
The number 65 fits into 450 6 times, leaving a remainder of 60.
The next digit of our result is 6. 
Result so far: 1584.16
Subtract 390 from 450 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 9:
The number 65 fits into 600 9 times, leaving a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 1584.169
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.

On to step 10:
When dividing 150 by 65, we get 2 with a remainder of 20.
Put 2 as the next digit of the answer. 
Result so far: 1584.1692
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.

On to step 11:
The number 65 fits into 200 3 times, leaving a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 1584.16923
Subtract 195 from 200 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
50 divided by 65 is 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1584.16923
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
65 goes into 500 7 times with a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 1584.1692307
The remainder is 45 after subtracting 455 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
450 divided by 65 is 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 1584.16923076
Deduct 390 from 450 and we're left 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.

The final result is 1584.16923076 with a remainder of 6e-08.