We're dividing 97667 by 51 
The aim is to understand the frequency of 51 in 97667.

Step 1:
51 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 51

Moving on to step 2:
If we divide 97 by 51, we get 1 and a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 51 away from 97, we end up with 46.
Bring next digit (6) of the dividend behind the 46 and repeat the process: 466 / 51

On to step 3:
51 goes into 466 9 times with a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Subtracting 459 from 466 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 51

On to step 4:
When dividing 76 by 51, we get 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 191.0
Subtracting 51 from 76 leaves us with 25.
Take the next digit (7) from the dividend and append it to 25, then repeat: 257 / 51

Step 5:
The number 51 fits into 257 5 times, leaving a remainder of 2.
The next digit of our result is 5. 
Result so far: 1915.0
The remainder is 2 after subtracting 255 from 257.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
The number 51 fits into 20 0 times, leaving a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 1915.0
Subtract 0 from 20 to 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.

On to step 7:
If we divide 200 by 51, we get 3 and a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 1915.03
Subtract 153 from 200 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 8:
470 divided by 51 is 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 1915.039
If we subtract 459 from 470, we get 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 9:
110 divided by 51 is 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 1915.0392
Subtract 102 from 110 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
The number 51 fits into 80 1 times, leaving a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 1915.03921
Deduct 51 from 80 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 11:
51 goes into 290 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 1915.039215
If we take 255 away from 290, 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.

Advancing to step 12:
When dividing 350 by 51, we get 6 with a remainder of 44.
Use 6 as the next digit of our solution. 
Result so far: 1915.0392156
If we subtract 306 from 350, we 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 13:
51 goes into 440 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 1915.03921568
If we take 408 away from 440, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 1915.03921568 and a remainder of 3.2e-08.