338145 ÷ 97 
The aim is to understand the frequency of 97 in 338145.

Advancing to step 1:
3 divided by 97 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (3) from the dividend, attach it to 3 and continue: 33 / 97

Step 2:
The number 97 fits into 33 0 times, leaving a remainder of 33.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 33 after subtracting 0 from 33.
Include the next digit (8) from the dividend after 33, then repeat: 338 / 97

Step 3:
If we divide 338 by 97, we get 3 and a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 3.0
If we take 291 away from 338, we end up with 47.
Append the next digit (1) from the dividend to 47 and continue with: 471 / 97

Step 4:
The number 97 fits into 471 4 times, leaving a remainder of 83.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
Deduct 388 from 471 and we're left with 83.
Fetch the next digit (4) from the dividend, attach it to 83 and continue: 834 / 97

Step 5:
834 divided by 97 is 8 with a remainder of 58.
Write down 8 as next digit of the result. 
Result so far: 348.0
Deduct 776 from 834 and we're left with 58.
Take the next digit (5) from the dividend and append it to 58, then repeat: 585 / 97

Let's proceed to step 6:
When dividing 585 by 97, we get 6 with a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 3486.0
If we take 582 away from 585, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
When dividing 30 by 97, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 3486.0
If we take 0 away from 30, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
When dividing 300 by 97, we get 3 with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 3486.03
The remainder is 9 after subtracting 291 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
When dividing 90 by 97, we get 0 with a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 3486.03
If we subtract 0 from 90, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 10:
97 goes into 900 9 times with a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 3486.0309
Subtracting 873 from 900 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 11:
The number 97 fits into 270 2 times, leaving a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 3486.03092
The remainder is 76 after subtracting 194 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 12:
97 goes into 760 7 times with a remainder of 81.
Record the quotient 7 as the next digit in the result. 
Result so far: 3486.030927
If we take 679 away from 760, we end up with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Step 13:
The number 97 fits into 810 8 times, leaving a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 3486.0309278
If we take 776 away from 810, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 14:
If we divide 340 by 97, we get 3 and a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 3486.03092783
Subtracting 291 from 340 leaves us 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.

The quotient of the division is 3486.03092783, and the remainder is 4.9e-08.