We look at the division of 344516 by 61 
The aim is to understand the frequency of 61 in 344516.

Going ahead to step 1:
When dividing 3 by 61, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 61

Moving on to step 2:
34 divided by 61 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (4) from the dividend, attach it to 34 and continue: 344 / 61

Let's proceed to step 3:
If we divide 344 by 61, we get 5 and a remainder of 39.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 305 away from 344, we end up with 39.
Bring next digit (5) of the dividend behind the 39 and repeat the process: 395 / 61

Step 4:
When dividing 395 by 61, we get 6 with a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 56.0
If we subtract 366 from 395, we get 29.
Append the next digit (1) from the dividend to 29 and continue with: 291 / 61

Advancing to step 5:
If we divide 291 by 61, we get 4 and a remainder of 47.
Write down 4 as next digit of the result. 
Result so far: 564.0
If we take 244 away from 291, we end up with 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 61

Going ahead to step 6:
If we divide 476 by 61, we get 7 and a remainder of 49.
Write down 7 as next digit of the result. 
Result so far: 5647.0
If we take 427 away from 476, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
The number 61 fits into 490 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 5647.8
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.

On to step 8:
61 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 5647.8
Deduct 0 from 20 and we're left 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.

Moving on to step 9:
The number 61 fits into 200 3 times, leaving a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 5647.803
If we subtract 183 from 200, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
61 goes into 170 2 times with a remainder of 48.
Record the quotient 2 as the next digit in the result. 
Result so far: 5647.8032
The remainder is 48 after subtracting 122 from 170.
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 11:
480 divided by 61 is 7 with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 5647.80327
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 12:
The number 61 fits into 530 8 times, leaving a remainder of 42.
The number 8 becomes the next digit in our result. 
Result so far: 5647.803278
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.

Advancing to step 13:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Put 6 as the next digit of the answer. 
Result so far: 5647.8032786
Deduct 366 from 420 and we're left 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.

Let's proceed to step 14:
61 can be fit into 540 8 times, resulting in a remainder of 52.
Put 8 as the next digit of the answer. 
Result so far: 5647.80327868
Deduct 488 from 540 and we're left 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.

After the division, we end up with 5647.80327868 and a remainder of 5.2e-08.