175743 ÷ 97 
The aim is to understand the frequency of 97 in 175743.

Going ahead to step 1:
If we divide 1 by 97, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 97

Moving on to step 2:
When dividing 17 by 97, we get 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 97

Let's proceed to step 3:
When dividing 175 by 97, we get 1 with a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 97 from 175 to get 78.
Take the next digit (7) from the dividend and append it to 78, then repeat: 787 / 97

Step 4:
If we divide 787 by 97, we get 8 and a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
Subtract 776 from 787 to get 11.
Append the next digit (4) from the dividend to 11 and continue with: 114 / 97

Going ahead to step 5:
97 goes into 114 1 times with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 181.0
Subtracting 97 from 114 leaves us with 17.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 97

On to step 6:
173 divided by 97 is 1 with a remainder of 76.
The number 1 becomes the next digit in our result. 
Result so far: 1811.0
The remainder is 76 after subtracting 97 from 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 7:
97 goes into 760 7 times with a remainder of 81.
Put 7 as the next digit of the answer. 
Result so far: 1811.7
If we subtract 679 from 760, we get 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Advancing to step 8:
If we divide 810 by 97, we get 8 and a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 1811.78
The remainder is 34 after subtracting 776 from 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 9:
97 goes into 340 3 times with a remainder of 49.
Record the quotient 3 as the next digit in the result. 
Result so far: 1811.783
Deduct 291 from 340 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.

Moving on to step 10:
The number 97 fits into 490 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1811.7835
If we subtract 485 from 490, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
50 divided by 97 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 1811.7835
If we take 0 away from 50, we end up with 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 12:
When dividing 500 by 97, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1811.783505
The remainder is 15 after subtracting 485 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
The number 97 fits into 150 1 times, leaving a remainder of 53.
Put 1 as the next digit of the answer. 
Result so far: 1811.7835051
Deduct 97 from 150 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 14:
97 can be fit into 530 5 times, resulting in a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 1811.78350515
If we subtract 485 from 530, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 1811.78350515 with a remainder of 4.5e-08.