We're dividing 101699 by 84 
The aim is to understand the frequency of 84 in 101699.

Going ahead to step 1:
84 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
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 / 84

Step 2:
If we divide 10 by 84, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 84

Going ahead to step 3:
84 can be fit into 101 1 times, resulting in a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 84 from 101 and we're left with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 84

Moving on to step 4:
When dividing 176 by 84, we get 2 with a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 168 from 176, we get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 84

Going ahead to step 5:
If we divide 89 by 84, we get 1 and a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 121.0
Subtracting 84 from 89 leaves us with 5.
Grab the next digit (9) from the dividend, add it to 5, then carry on: 59 / 84

Let's proceed to step 6:
If we divide 59 by 84, we get 0 and a remainder of 59.
The number 0 becomes the next digit in our result. 
Result so far: 1210.0
Deduct 0 from 59 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 7:
The number 84 fits into 590 7 times, leaving a remainder of 2.
The next digit of our result is 7. 
Result so far: 1210.7
Deduct 588 from 590 and we're left 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.

Let's proceed to step 8:
84 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 1210.7
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
The number 84 fits into 200 2 times, leaving a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 1210.702
Subtract 168 from 200 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 10:
84 can be fit into 320 3 times, resulting in a remainder of 68.
Use 3 as the next digit of our solution. 
Result so far: 1210.7023
Deduct 252 from 320 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
680 divided by 84 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 1210.70238
Subtracting 672 from 680 leaves us 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.

Let's proceed to step 12:
84 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 1210.70238
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 13:
84 can be fit into 800 9 times, resulting in a remainder of 44.
The next digit of our result is 9. 
Result so far: 1210.7023809
Subtracting 756 from 800 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 14:
84 can be fit into 440 5 times, resulting in a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 1210.70238095
The remainder is 20 after subtracting 420 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 1210.70238095 and a remainder of 2e-08.