105682 ÷ 84 
The aim is to understand the frequency of 84 in 105682.

On to step 1:
The number 84 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 84

Let's proceed to step 2:
84 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 84

Going ahead to step 3:
The number 84 fits into 105 1 times, leaving a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 21 after subtracting 84 from 105.
Fetch the next digit (6) from the dividend, attach it to 21 and continue: 216 / 84

Advancing to step 4:
The number 84 fits into 216 2 times, leaving a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 168 from 216 leaves us with 48.
Grab the next digit (8) from the dividend, add it to 48, then carry on: 488 / 84

Going ahead to step 5:
If we divide 488 by 84, we get 5 and a remainder of 68.
Put 5 as the next digit of the answer. 
Result so far: 125.0
Deduct 420 from 488 and we're left with 68.
Grab the next digit (2) from the dividend, add it to 68, then carry on: 682 / 84

Moving on to step 6:
84 goes into 682 8 times with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 1258.0
Subtracting 672 from 682 leaves us 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.

Advancing to step 7:
When dividing 100 by 84, we get 1 with a remainder of 16.
Record the quotient 1 as the next digit in the result. 
Result so far: 1258.1
Subtract 84 from 100 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.

Advancing to step 8:
84 goes into 160 1 times with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 1258.11
The remainder is 76 after subtracting 84 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Our division results in 1258.11 with a remaining 0.076.