542500 ÷ 89 
The aim is to understand the frequency of 89 in 542500.

Moving on to step 1:
The number 89 fits into 5 0 times, leaving a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (4) of the dividend behind the 5 and repeat the process: 54 / 89

Moving on to step 2:
89 can be fit into 54 0 times, resulting in a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Fetch the next digit (2) from the dividend, attach it to 54 and continue: 542 / 89

Moving on to step 3:
The number 89 fits into 542 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 6.0
The remainder is 8 after subtracting 534 from 542.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 89

Going ahead to step 4:
85 divided by 89 is 0 with a remainder of 85.
The number 0 becomes the next digit in our result. 
Result so far: 60.0
If we take 0 away from 85, we end up with 85.
Bring next digit (0) of the dividend behind the 85 and repeat the process: 850 / 89

Going ahead to step 5:
89 goes into 850 9 times with a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 609.0
If we take 801 away from 850, we end up with 49.
Include the next digit (0) from the dividend after 49, then repeat: 490 / 89

Going ahead to step 6:
89 can be fit into 490 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 6095.0
Subtracting 445 from 490 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 7:
89 goes into 450 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6095.5
The remainder is 5 after subtracting 445 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
The number 89 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 6095.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 9:
500 divided by 89 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 6095.505
If we subtract 445 from 500, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 10:
If we divide 550 by 89, we get 6 and a remainder of 16.
The next digit of our result is 6. 
Result so far: 6095.5056
Subtracting 534 from 550 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.

Step 11:
The number 89 fits into 160 1 times, leaving a remainder of 71.
The number 1 becomes the next digit in our result. 
Result so far: 6095.50561
Subtract 89 from 160 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 12:
89 can be fit into 710 7 times, resulting in a remainder of 87.
Write down 7 as next digit of the result. 
Result so far: 6095.505617
The remainder is 87 after subtracting 623 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 13:
If we divide 870 by 89, we get 9 and a remainder of 69.
Put 9 as the next digit of the answer. 
Result so far: 6095.5056179
If we take 801 away from 870, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 14:
When dividing 690 by 89, we get 7 with a remainder of 67.
Put 7 as the next digit of the answer. 
Result so far: 6095.50561797
Deduct 623 from 690 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

In conclusion, the division gives 6095.50561797 with a balance of 6.7e-08.