We're dividing 419056 by 61 
The aim is to understand the frequency of 61 in 419056.

Going ahead to step 1:
The number 61 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 61

Going ahead to step 2:
61 goes into 41 0 times with a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 61

Going ahead to step 3:
The number 61 fits into 419 6 times, leaving a remainder of 53.
The next digit of our result is 6. 
Result so far: 6.0
Deduct 366 from 419 and we're left with 53.
Take the next digit (0) from the dividend and append it to 53, then repeat: 530 / 61

On to step 4:
When dividing 530 by 61, we get 8 with a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 68.0
If we take 488 away from 530, we end up with 42.
Take the next digit (5) from the dividend and append it to 42, then repeat: 425 / 61

Advancing to step 5:
If we divide 425 by 61, we get 6 and a remainder of 59.
Put 6 as the next digit of the answer. 
Result so far: 686.0
Subtract 366 from 425 to get 59.
Include the next digit (6) from the dividend after 59, then repeat: 596 / 61

Step 6:
If we divide 596 by 61, we get 9 and a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 6869.0
The remainder is 47 after subtracting 549 from 596.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 7:
470 divided by 61 is 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 6869.7
Subtracting 427 from 470 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 8:
The number 61 fits into 430 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 6869.77
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 quotient of the division is 6869.77, and the remainder is 0.003.