Let's divide 101815 by 27
The aim is to understand the frequency of 27 in 101815.

Advancing to step 1:
27 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 27

On to step 2:
If we divide 10 by 27, we get 0 and a remainder of 10.
The next digit of our result is 0. 
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 / 27

Moving on to step 3:
101 divided by 27 is 3 with a remainder of 20.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 81 from 101 and we're left with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 27

On to step 4:
27 can be fit into 208 7 times, resulting in a remainder of 19.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 189 from 208 to get 19.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 27

Let's proceed to step 5:
191 divided by 27 is 7 with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 377.0
If we subtract 189 from 191, we get 2.
Take the next digit (5) from the dividend and append it to 2, then repeat: 25 / 27

Moving on to step 6:
When dividing 25 by 27, we get 0 with a remainder of 25.
The next digit of our result is 0. 
Result so far: 3770.0
Deduct 0 from 25 and we're left 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.

Let's proceed to step 7:
27 goes into 250 9 times with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 3770.9
Subtracting 243 from 250 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 8:
70 divided by 27 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 3770.92
Subtracting 54 from 70 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 9:
The number 27 fits into 160 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 3770.925
If we take 135 away from 160, 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.

Let's proceed to step 10:
If we divide 250 by 27, we get 9 and a remainder of 7.
Use 9 as the next digit of our solution. 
Result so far: 3770.9259
The remainder is 7 after subtracting 243 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
The number 27 fits into 70 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 3770.92592
If we take 54 away from 70, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
The number 27 fits into 160 5 times, leaving a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 3770.925925
Deduct 135 from 160 and we're left 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.

Let's proceed to step 13:
27 goes into 250 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 3770.9259259
If we subtract 243 from 250, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
70 divided by 27 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 3770.92592592
Subtract 54 from 70 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 3770.92592592, and the remainder is 1.6e-08.