We're dividing 101767 by 14 
The aim is to understand the frequency of 14 in 101767.

Let's proceed to step 1:
14 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 14

Going ahead to step 2:
If we divide 10 by 14, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 14

Step 3:
If we divide 101 by 14, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 98 from 101 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 14

Step 4:
The number 14 fits into 37 2 times, leaving a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 72.0
Subtract 28 from 37 to get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 14

Let's proceed to step 5:
When dividing 96 by 14, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 726.0
If we take 84 away from 96, we end up with 12.
Append the next digit (7) from the dividend to 12 and continue with: 127 / 14

Going ahead to step 6:
14 can be fit into 127 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 7269.0
If we subtract 126 from 127, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 14 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 7269.0
Deduct 0 from 10 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.

Step 8:
14 goes into 100 7 times with a remainder of 2.
The next digit of our result is 7. 
Result so far: 7269.07
If we subtract 98 from 100, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
20 divided by 14 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 7269.071
If we take 14 away from 20, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 10:
If we divide 60 by 14, we get 4 and a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 7269.0714
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 7269.07142
Subtracting 28 from 40 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
If we divide 120 by 14, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 7269.071428
The remainder is 8 after subtracting 112 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 13:
14 goes into 80 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7269.0714285
If we subtract 70 from 80, 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.

Step 14:
100 divided by 14 is 7 with a remainder of 2.
The next digit of our result is 7. 
Result so far: 7269.07142857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 7269.07142857 with a remaining 2e-09.