Let's divide 589857 by 61
The aim is to understand the frequency of 61 in 589857.

Advancing to step 1:
If we divide 5 by 61, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 61

Step 2:
If we divide 58 by 61, we get 0 and a remainder of 58.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (9) from the dividend, attach it to 58 and continue: 589 / 61

Let's proceed to step 3:
61 goes into 589 9 times with a remainder of 40.
The next digit of our result is 9. 
Result so far: 9.0
Subtract 549 from 589 to get 40.
Include the next digit (8) from the dividend after 40, then repeat: 408 / 61

On to step 4:
When dividing 408 by 61, we get 6 with a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Subtract 366 from 408 to get 42.
Append the next digit (5) from the dividend to 42 and continue with: 425 / 61

On to step 5:
61 can be fit into 425 6 times, resulting in a remainder of 59.
Use 6 as the next digit of our solution. 
Result so far: 966.0
The remainder is 59 after subtracting 366 from 425.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 61

Going ahead to step 6:
If we divide 597 by 61, we get 9 and a remainder of 48.
Write down 9 as next digit of the result. 
Result so far: 9669.0
The remainder is 48 after subtracting 549 from 597.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 7:
If we divide 480 by 61, we get 7 and a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 9669.7
Deduct 427 from 480 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.

Step 8:
If we divide 530 by 61, we get 8 and a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 9669.78
If we take 488 away from 530, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 9:
420 divided by 61 is 6 with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 9669.786
If we take 366 away from 420, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 10:
When dividing 540 by 61, we get 8 with a remainder of 52.
The next digit of our result is 8. 
Result so far: 9669.7868
If we take 488 away from 540, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 11:
When dividing 520 by 61, we get 8 with a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 9669.78688
Subtract 488 from 520 to 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.

The final result is 9669.78688 with a remainder of 3.2e-05.