We're dividing 101011 by 14 
The aim is to understand the frequency of 14 in 101011.

Advancing to step 1:
14 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 14

Going ahead to step 2:
When dividing 10 by 14, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 14

Let's proceed to step 3:
14 can be fit into 101 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 98 from 101 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 14

Step 4:
When dividing 30 by 14, we get 2 with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 72.0
Deduct 28 from 30 and we're left with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 14

Step 5:
When dividing 21 by 14, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 721.0
Deduct 14 from 21 and we're left with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 14

On to step 6:
14 can be fit into 71 5 times, resulting in a remainder of 1.
The next digit of our result is 5. 
Result so far: 7215.0
Subtract 70 from 71 to 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.

Step 7:
If we divide 10 by 14, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 7215.0
Subtract 0 from 10 to 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.

Moving on to step 8:
The number 14 fits into 100 7 times, leaving a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7215.07
The remainder is 2 after subtracting 98 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
If we divide 20 by 14, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 7215.071
Subtracting 14 from 20 leaves us 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.

Let's proceed to step 10:
14 goes into 60 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 7215.0714
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
When dividing 40 by 14, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 7215.07142
The remainder is 12 after subtracting 28 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
14 goes into 120 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 7215.071428
If we take 112 away from 120, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
When dividing 80 by 14, we get 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 7215.0714285
Deduct 70 from 80 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.

Moving on to step 14:
If we divide 100 by 14, we get 7 and a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 7215.07142857
Subtract 98 from 100 to 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.

Our division results in 7215.07142857 with a remaining 2e-09.