589621 ÷ 61 
The aim is to understand the frequency of 61 in 589621.

On to step 1:
When dividing 5 by 61, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 61

Advancing to step 2:
The number 61 fits into 58 0 times, leaving a remainder of 58.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 58 after subtracting 0 from 58.
Take the next digit (9) from the dividend and append it to 58, then repeat: 589 / 61

Moving on to step 3:
589 divided by 61 is 9 with a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
If we subtract 549 from 589, we get 40.
Include the next digit (6) from the dividend after 40, then repeat: 406 / 61

Step 4:
When dividing 406 by 61, we get 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 366 from 406 and we're left with 40.
Take the next digit (2) from the dividend and append it to 40, then repeat: 402 / 61

Going ahead to step 5:
The number 61 fits into 402 6 times, leaving a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 966.0
The remainder is 36 after subtracting 366 from 402.
Take the next digit (1) from the dividend and append it to 36, then repeat: 361 / 61

Moving on to step 6:
The number 61 fits into 361 5 times, leaving a remainder of 56.
Write down 5 as next digit of the result. 
Result so far: 9665.0
Subtract 305 from 361 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 7:
61 goes into 560 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 9665.9
Deduct 549 from 560 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 8:
If we divide 110 by 61, we get 1 and a remainder of 49.
The next digit of our result is 1. 
Result so far: 9665.91
The remainder is 49 after subtracting 61 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 9:
If we divide 490 by 61, we get 8 and a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 9665.918
If we take 488 away from 490, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
20 divided by 61 is 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 9665.918
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
61 goes into 200 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 9665.91803
Subtracting 183 from 200 leaves us 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.

Advancing to step 12:
61 goes into 170 2 times with a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 9665.918032
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 13:
480 divided by 61 is 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 9665.9180327
The remainder is 53 after subtracting 427 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 14:
The number 61 fits into 530 8 times, leaving a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 9665.91803278
The remainder is 42 after subtracting 488 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 9665.91803278, with a leftover of 4.2e-08.