We're dividing 175634 by 61 
The aim is to understand the frequency of 61 in 175634.

Let's proceed to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 61

On to step 2:
If we divide 17 by 61, we get 0 and a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 17 and we're left with 17.
Include the next digit (5) from the dividend after 17, then repeat: 175 / 61

Going ahead to step 3:
61 can be fit into 175 2 times, resulting in a remainder of 53.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 122 away from 175, we end up with 53.
Include the next digit (6) from the dividend after 53, then repeat: 536 / 61

On to step 4:
536 divided by 61 is 8 with a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 28.0
If we take 488 away from 536, we end up with 48.
Fetch the next digit (3) from the dividend, attach it to 48 and continue: 483 / 61

Advancing to step 5:
The number 61 fits into 483 7 times, leaving a remainder of 56.
Use 7 as the next digit of our solution. 
Result so far: 287.0
Subtracting 427 from 483 leaves us with 56.
Fetch the next digit (4) from the dividend, attach it to 56 and continue: 564 / 61

Moving on to step 6:
564 divided by 61 is 9 with a remainder of 15.
Record the quotient 9 as the next digit in the result. 
Result so far: 2879.0
If we subtract 549 from 564, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
150 divided by 61 is 2 with a remainder of 28.
Write down 2 as next digit of the result. 
Result so far: 2879.2
Subtracting 122 from 150 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
If we divide 280 by 61, we get 4 and a remainder of 36.
Record the quotient 4 as the next digit in the result. 
Result so far: 2879.24
Deduct 244 from 280 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 9:
61 goes into 360 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 2879.245
If we take 305 away from 360, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 10:
When dividing 550 by 61, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 2879.2459
Subtract 549 from 550 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
When dividing 10 by 61, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 2879.2459
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 61 fits into 100 1 times, leaving a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 2879.245901
If we take 61 away from 100, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 13:
61 can be fit into 390 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 2879.2459016
If we take 366 away from 390, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
When dividing 240 by 61, we get 3 with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 2879.24590163
If we subtract 183 from 240, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 2879.24590163 and a remainder of 5.7e-08.