829006 divided by 61 
The aim is to understand the frequency of 61 in 829006.

Going ahead to step 1:
When dividing 8 by 61, we get 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 61

Let's proceed to step 2:
61 goes into 82 1 times with a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 61 from 82, we get 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 61

Moving on to step 3:
219 divided by 61 is 3 with a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 183 from 219 leaves us with 36.
Include the next digit (0) from the dividend after 36, then repeat: 360 / 61

Going ahead to step 4:
The number 61 fits into 360 5 times, leaving a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 135.0
Subtract 305 from 360 to get 55.
Bring next digit (0) of the dividend behind the 55 and repeat the process: 550 / 61

Let's proceed to step 5:
When dividing 550 by 61, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 1359.0
Subtract 549 from 550 to get 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 61

Going ahead to step 6:
When dividing 16 by 61, we get 0 with a remainder of 16.
Write down 0 as next digit of the result. 
Result so far: 13590.0
The remainder is 16 after subtracting 0 from 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
If we divide 160 by 61, we get 2 and a remainder of 38.
The next digit of our result is 2. 
Result so far: 13590.2
Deduct 122 from 160 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 8:
61 can be fit into 380 6 times, resulting in a remainder of 14.
The next digit of our result is 6. 
Result so far: 13590.26
Subtracting 366 from 380 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
61 goes into 140 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 13590.262
Subtract 122 from 140 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 10:
If we divide 180 by 61, we get 2 and a remainder of 58.
Write down 2 as next digit of the result. 
Result so far: 13590.2622
Deduct 122 from 180 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final result is 13590.2622 with a remainder of 0.00058.