5100 divided by 84 
The aim is to understand the frequency of 84 in 5100.

Going ahead to step 1:
84 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 84

Advancing to step 2:
If we divide 51 by 84, we get 0 and a remainder of 51.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Append the next digit (0) from the dividend to 51 and continue with: 510 / 84

Moving on to step 3:
84 goes into 510 6 times with a remainder of 6.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 504 from 510 leaves us with 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 84

Moving on to step 4:
60 divided by 84 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 60.0
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 5:
600 divided by 84 is 7 with a remainder of 12.
Put 7 as the next digit of the answer. 
Result so far: 60.7
Subtracting 588 from 600 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.

Moving on to step 6:
84 can be fit into 120 1 times, resulting in a remainder of 36.
The number 1 becomes the next digit in our result. 
Result so far: 60.71
Subtracting 84 from 120 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 7:
The number 84 fits into 360 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 60.714
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
When dividing 240 by 84, we get 2 with a remainder of 72.
The number 2 becomes the next digit in our result. 
Result so far: 60.7142
Subtract 168 from 240 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 9:
84 can be fit into 720 8 times, resulting in a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 60.71428
If we subtract 672 from 720, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 10:
84 goes into 480 5 times with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 60.714285
Subtracting 420 from 480 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
84 can be fit into 600 7 times, resulting in a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 60.7142857
Subtracting 588 from 600 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.

Let's proceed to step 12:
The number 84 fits into 120 1 times, leaving a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 60.71428571
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 60.71428571 and a remainder of 3.6e-08.