872180 ÷ 61 
The aim is to understand the frequency of 61 in 872180.

Step 1:
8 divided by 61 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 61

Let's proceed to step 2:
If we divide 87 by 61, we get 1 and a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 87, we end up with 26.
Include the next digit (2) from the dividend after 26, then repeat: 262 / 61

Step 3:
262 divided by 61 is 4 with a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 244 from 262 and we're left with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 61

Let's proceed to step 4:
The number 61 fits into 181 2 times, leaving a remainder of 59.
The next digit of our result is 2. 
Result so far: 142.0
If we take 122 away from 181, we end up with 59.
Fetch the next digit (8) from the dividend, attach it to 59 and continue: 598 / 61

Advancing to step 5:
The number 61 fits into 598 9 times, leaving a remainder of 49.
The next digit of our result is 9. 
Result so far: 1429.0
If we take 549 away from 598, we end up with 49.
Append the next digit (0) from the dividend to 49 and continue with: 490 / 61

Going ahead to step 6:
490 divided by 61 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 14298.0
If we subtract 488 from 490, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
20 divided by 61 is 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 14298.0
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 61 fits into 200 3 times, leaving a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 14298.03
Deduct 183 from 200 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
61 can be fit into 170 2 times, resulting in a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 14298.032
The remainder is 48 after subtracting 122 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 10:
480 divided by 61 is 7 with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 14298.0327
Subtracting 427 from 480 leaves us 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.

Step 11:
61 can be fit into 530 8 times, resulting in a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 14298.03278
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 12:
When dividing 420 by 61, we get 6 with a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 14298.032786
If we subtract 366 from 420, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 13:
61 can be fit into 540 8 times, resulting in a remainder of 52.
Use 8 as the next digit of our solution. 
Result so far: 14298.0327868
Subtract 488 from 540 to 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 14:
If we divide 520 by 61, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 14298.03278688
If we subtract 488 from 520, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 14298.03278688 with a balance of 3.2e-08.