271090 ÷ 65 
The aim is to understand the frequency of 65 in 271090.

Step 1:
2 divided by 65 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 65

Moving on to step 2:
27 divided by 65 is 0 with a remainder of 27.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 65

Step 3:
65 goes into 271 4 times with a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Deduct 260 from 271 and we're left with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 65

Step 4:
110 divided by 65 is 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 41.0
Subtracting 65 from 110 leaves us with 45.
Take the next digit (9) from the dividend and append it to 45, then repeat: 459 / 65

Step 5:
When dividing 459 by 65, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 417.0
If we take 455 away from 459, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 65

Let's proceed to step 6:
When dividing 40 by 65, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 4170.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 7:
The number 65 fits into 400 6 times, leaving a remainder of 10.
The next digit of our result is 6. 
Result so far: 4170.6
If we subtract 390 from 400, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
100 divided by 65 is 1 with a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 4170.61
Subtracting 65 from 100 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 9:
65 goes into 350 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 4170.615
Subtract 325 from 350 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
If we divide 250 by 65, we get 3 and a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 4170.6153
Subtracting 195 from 250 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 11:
550 divided by 65 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 4170.61538
Subtracting 520 from 550 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
65 goes into 300 4 times with a remainder of 40.
The next digit of our result is 4. 
Result so far: 4170.615384
If we take 260 away from 300, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
65 goes into 400 6 times with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 4170.6153846
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 14:
The number 65 fits into 100 1 times, leaving a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 4170.61538461
If we take 65 away from 100, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

After the division, we end up with 4170.61538461 and a remainder of 3.5e-08.