501109 ÷ 84 
The aim is to understand the frequency of 84 in 501109.

Going ahead to step 1:
If we divide 5 by 84, we get 0 and a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (0) from the dividend to 5 and continue with: 50 / 84

Advancing to step 2:
84 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 50 leaves us with 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 84

Going ahead to step 3:
If we divide 501 by 84, we get 5 and a remainder of 81.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Deduct 420 from 501 and we're left with 81.
Take the next digit (1) from the dividend and append it to 81, then repeat: 811 / 84

Moving on to step 4:
When dividing 811 by 84, we get 9 with a remainder of 55.
Put 9 as the next digit of the answer. 
Result so far: 59.0
Subtracting 756 from 811 leaves us with 55.
Take the next digit (0) from the dividend and append it to 55, then repeat: 550 / 84

Advancing to step 5:
84 goes into 550 6 times with a remainder of 46.
Record the quotient 6 as the next digit in the result. 
Result so far: 596.0
Deduct 504 from 550 and we're left with 46.
Bring next digit (9) of the dividend behind the 46 and repeat the process: 469 / 84

Going ahead to step 6:
84 goes into 469 5 times with a remainder of 49.
Record the quotient 5 as the next digit in the result. 
Result so far: 5965.0
Deduct 420 from 469 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 7:
When dividing 490 by 84, we get 5 with a remainder of 70.
Write down 5 as next digit of the result. 
Result so far: 5965.5
Subtract 420 from 490 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 8:
If we divide 700 by 84, we get 8 and a remainder of 28.
Write down 8 as next digit of the result. 
Result so far: 5965.58
If we subtract 672 from 700, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 9:
If we divide 280 by 84, we get 3 and a remainder of 28.
Record the quotient 3 as the next digit in the result. 
Result so far: 5965.583
Deduct 252 from 280 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 10:
The number 84 fits into 280 3 times, leaving a remainder of 28.
Use 3 as the next digit of our solution. 
Result so far: 5965.5833
If we subtract 252 from 280, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final outcome is 5965.5833, with a leftover of 0.00028.