771819 ÷ 61 
The aim is to understand the frequency of 61 in 771819.

Let's proceed to step 1:
The number 61 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 61

Moving on to step 2:
When dividing 77 by 61, we get 1 with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 61 away from 77, we end up with 16.
Take the next digit (1) from the dividend and append it to 16, then repeat: 161 / 61

Advancing to step 3:
The number 61 fits into 161 2 times, leaving a remainder of 39.
Write down 2 as next digit of the result. 
Result so far: 12.0
Deduct 122 from 161 and we're left with 39.
Grab the next digit (8) from the dividend, add it to 39, then carry on: 398 / 61

On to step 4:
When dividing 398 by 61, we get 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 126.0
Deduct 366 from 398 and we're left with 32.
Bring next digit (1) of the dividend behind the 32 and repeat the process: 321 / 61

Moving on to step 5:
321 divided by 61 is 5 with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 1265.0
Subtracting 305 from 321 leaves us with 16.
Include the next digit (9) from the dividend after 16, then repeat: 169 / 61

Step 6:
61 can be fit into 169 2 times, resulting in a remainder of 47.
Use 2 as the next digit of our solution. 
Result so far: 12652.0
Deduct 122 from 169 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Advancing to step 7:
When dividing 470 by 61, we get 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 12652.7
Subtract 427 from 470 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 8:
61 can be fit into 430 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 12652.77
Deduct 427 from 430 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 12652.77 with a remainder of 0.003.