836580 ÷ 97 
The aim is to understand the frequency of 97 in 836580.

Step 1:
8 divided by 97 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (3) from the dividend and append it to 8, then repeat: 83 / 97

On to step 2:
97 goes into 83 0 times with a remainder of 83.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 83 after subtracting 0 from 83.
Grab the next digit (6) from the dividend, add it to 83, then carry on: 836 / 97

On to step 3:
When dividing 836 by 97, we get 8 with a remainder of 60.
Write down 8 as next digit of the result. 
Result so far: 8.0
Deduct 776 from 836 and we're left with 60.
Fetch the next digit (5) from the dividend, attach it to 60 and continue: 605 / 97

Going ahead to step 4:
The number 97 fits into 605 6 times, leaving a remainder of 23.
The next digit of our result is 6. 
Result so far: 86.0
The remainder is 23 after subtracting 582 from 605.
Include the next digit (8) from the dividend after 23, then repeat: 238 / 97

Going ahead to step 5:
If we divide 238 by 97, we get 2 and a remainder of 44.
Write down 2 as next digit of the result. 
Result so far: 862.0
If we take 194 away from 238, we end up with 44.
Append the next digit (0) from the dividend to 44 and continue with: 440 / 97

Going ahead to step 6:
If we divide 440 by 97, we get 4 and a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 8624.0
If we subtract 388 from 440, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 7:
The number 97 fits into 520 5 times, leaving a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 8624.5
If we subtract 485 from 520, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
If we divide 350 by 97, we get 3 and a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 8624.53
If we subtract 291 from 350, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 9:
97 goes into 590 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 8624.536
If we take 582 away from 590, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 10:
97 goes into 80 0 times with a remainder of 80.
The next digit of our result is 0. 
Result so far: 8624.536
The remainder is 80 after subtracting 0 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 11:
97 can be fit into 800 8 times, resulting in a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8624.53608
The remainder is 24 after subtracting 776 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
When dividing 240 by 97, we get 2 with a remainder of 46.
The next digit of our result is 2. 
Result so far: 8624.536082
The remainder is 46 after subtracting 194 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 13:
When dividing 460 by 97, we get 4 with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 8624.5360824
Subtracting 388 from 460 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 14:
720 divided by 97 is 7 with a remainder of 41.
The next digit of our result is 7. 
Result so far: 8624.53608247
If we take 679 away from 720, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final outcome is 8624.53608247, with a leftover of 4.1e-08.