719789 ÷ 65 
The aim is to understand the frequency of 65 in 719789.

Step 1:
When dividing 7 by 65, we get 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 65

Advancing to step 2:
65 can be fit into 71 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 6 after subtracting 65 from 71.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 65

Advancing to step 3:
If we divide 69 by 65, we get 1 and a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 11.0
If we subtract 65 from 69, we get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 65

Step 4:
If we divide 47 by 65, we get 0 and a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
If we take 0 away from 47, we end up with 47.
Append the next digit (8) from the dividend to 47 and continue with: 478 / 65

Advancing to step 5:
When dividing 478 by 65, we get 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 1107.0
The remainder is 23 after subtracting 455 from 478.
Fetch the next digit (9) from the dividend, attach it to 23 and continue: 239 / 65

Advancing to step 6:
65 can be fit into 239 3 times, resulting in a remainder of 44.
The next digit of our result is 3. 
Result so far: 11073.0
Subtract 195 from 239 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
The number 65 fits into 440 6 times, leaving a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 11073.6
If we take 390 away from 440, we end up 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.

Moving on to step 8:
If we divide 500 by 65, we get 7 and a remainder of 45.
Record the quotient 7 as the next digit in the result. 
Result so far: 11073.67
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.

Moving on to step 9:
450 divided by 65 is 6 with a remainder of 60.
Write down 6 as next digit of the result. 
Result so far: 11073.676
If we subtract 390 from 450, 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.

Advancing to step 10:
65 can be fit into 600 9 times, resulting in a remainder of 15.
Use 9 as the next digit of our solution. 
Result so far: 11073.6769
If we subtract 585 from 600, we 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.

Let's proceed to step 11:
150 divided by 65 is 2 with a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 11073.67692
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.

Moving on to step 12:
65 goes into 200 3 times with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 11073.676923
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.

Advancing to step 13:
50 divided by 65 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 11073.676923
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.

Moving on to step 14:
If we divide 500 by 65, we get 7 and a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 11073.67692307
If we take 455 away from 500, we end up 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.

The quotient of the division is 11073.67692307, and the remainder is 4.5e-08.