We divide 976678 by 65
The aim is to understand the frequency of 65 in 976678.

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
Deduct 0 from 9 and we're left with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 65

Going ahead to step 2:
The number 65 fits into 97 1 times, leaving a remainder of 32.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 65 from 97 and we're left with 32.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 65

On to step 3:
The number 65 fits into 326 5 times, leaving a remainder of 1.
The next digit of our result is 5. 
Result so far: 15.0
Subtracting 325 from 326 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 65

Moving on to step 4:
65 can be fit into 16 0 times, resulting in a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 150.0
If we subtract 0 from 16, we get 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 65

Let's proceed to step 5:
The number 65 fits into 167 2 times, leaving a remainder of 37.
The next digit of our result is 2. 
Result so far: 1502.0
Deduct 130 from 167 and we're left with 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 65

Let's proceed to step 6:
65 goes into 378 5 times with a remainder of 53.
Put 5 as the next digit of the answer. 
Result so far: 15025.0
Subtracting 325 from 378 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
The number 65 fits into 530 8 times, leaving a remainder of 10.
The next digit of our result is 8. 
Result so far: 15025.8
Deduct 520 from 530 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 8:
65 goes into 100 1 times with a remainder of 35.
The next digit of our result is 1. 
Result so far: 15025.81
Deduct 65 from 100 and we're left 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:
The number 65 fits into 350 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 15025.815
If we take 325 away from 350, we end up with 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:
The number 65 fits into 250 3 times, leaving a remainder of 55.
Write down 3 as next digit of the result. 
Result so far: 15025.8153
If we take 195 away from 250, we end up 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.

On to step 11:
550 divided by 65 is 8 with a remainder of 30.
The number 8 becomes the next digit in our result. 
Result so far: 15025.81538
The remainder is 30 after subtracting 520 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 12:
If we divide 300 by 65, we get 4 and a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 15025.815384
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
400 divided by 65 is 6 with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 15025.8153846
Subtracting 390 from 400 leaves us 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.

Moving on to step 14:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 15025.81538461
Subtract 65 from 100 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The quotient of the division is 15025.81538461, and the remainder is 3.5e-08.