4146 divided by 61 
The aim is to understand the frequency of 61 in 4146.

Step 1:
If we divide 4 by 61, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 61

Advancing to step 2:
The number 61 fits into 41 0 times, leaving a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Bring next digit (4) of the dividend behind the 41 and repeat the process: 414 / 61

Let's proceed to step 3:
61 goes into 414 6 times with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Deduct 366 from 414 and we're left with 48.
Bring next digit (6) of the dividend behind the 48 and repeat the process: 486 / 61

Advancing to step 4:
When dividing 486 by 61, we get 7 with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Subtracting 427 from 486 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 5:
61 can be fit into 590 9 times, resulting in a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 67.9
If we subtract 549 from 590, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 6:
61 goes into 410 6 times with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 67.96
If we subtract 366 from 410, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
The number 61 fits into 440 7 times, leaving a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 67.967
If we subtract 427 from 440, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 8:
61 can be fit into 130 2 times, resulting in a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 67.9672
If we take 122 away from 130, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
80 divided by 61 is 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 67.96721
If we take 61 away from 80, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 10:
61 goes into 190 3 times with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 67.967213
If we take 183 away from 190, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
If we divide 70 by 61, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 67.9672131
Subtracting 61 from 70 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
61 goes into 90 1 times with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 67.96721311
If we subtract 61 from 90, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

After the division, we end up with 67.96721311 and a remainder of 2.9e-08.