42180 ÷ 65 
The aim is to understand the frequency of 65 in 42180.

Going ahead to step 1:
If we divide 4 by 65, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 65

Going ahead to step 2:
42 divided by 65 is 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 65

Moving on to step 3:
When dividing 421 by 65, we get 6 with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 390 from 421 to get 31.
Take the next digit (8) from the dividend and append it to 31, then repeat: 318 / 65

Going ahead to step 4:
The number 65 fits into 318 4 times, leaving a remainder of 58.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
The remainder is 58 after subtracting 260 from 318.
Take the next digit (0) from the dividend and append it to 58, then repeat: 580 / 65

Moving on to step 5:
When dividing 580 by 65, we get 8 with a remainder of 60.
Put 8 as the next digit of the answer. 
Result so far: 648.0
If we subtract 520 from 580, we 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.

Step 6:
65 goes into 600 9 times with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 648.9
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.

Moving on to step 7:
If we divide 150 by 65, we get 2 and a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 648.92
The remainder is 20 after subtracting 130 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 8:
If we divide 200 by 65, we get 3 and a remainder of 5.
The next digit of our result is 3. 
Result so far: 648.923
If we subtract 195 from 200, we 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.

Moving on to step 9:
65 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 648.923
Deduct 0 from 50 and we're left 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 10:
65 goes into 500 7 times with a remainder of 45.
The next digit of our result is 7. 
Result so far: 648.92307
Deduct 455 from 500 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.

On to step 11:
When dividing 450 by 65, we get 6 with a remainder of 60.
The next digit of our result is 6. 
Result so far: 648.923076
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 12:
When dividing 600 by 65, we get 9 with a remainder of 15.
Put 9 as the next digit of the answer. 
Result so far: 648.9230769
Deduct 585 from 600 and we're left 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 13:
If we divide 150 by 65, we get 2 and a remainder of 20.
The number 2 becomes the next digit in our result. 
Result so far: 648.92307692
If we subtract 130 from 150, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 648.92307692 and a remainder of 2e-08.