We're dividing 155635 by 61 
The aim is to understand the frequency of 61 in 155635.

Let's proceed to step 1:
61 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 61

Going ahead to step 2:
When dividing 15 by 61, we get 0 with a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Bring next digit (5) of the dividend behind the 15 and repeat the process: 155 / 61

Moving on to step 3:
155 divided by 61 is 2 with a remainder of 33.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 122 from 155 and we're left with 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 61

On to step 4:
61 can be fit into 336 5 times, resulting in a remainder of 31.
The next digit of our result is 5. 
Result so far: 25.0
Subtracting 305 from 336 leaves us with 31.
Take the next digit (3) from the dividend and append it to 31, then repeat: 313 / 61

Advancing to step 5:
If we divide 313 by 61, we get 5 and a remainder of 8.
Record the quotient 5 as the next digit in the result. 
Result so far: 255.0
If we take 305 away from 313, we end up with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 61

Moving on to step 6:
85 divided by 61 is 1 with a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 2551.0
Deduct 61 from 85 and we're left 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 7:
61 goes into 240 3 times with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 2551.3
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.

Step 8:
61 can be fit into 570 9 times, resulting in a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 2551.39
The remainder is 21 after subtracting 549 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 9:
210 divided by 61 is 3 with a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 2551.393
Subtracting 183 from 210 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 10:
When dividing 270 by 61, we get 4 with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 2551.3934
Subtract 244 from 270 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
The number 61 fits into 260 4 times, leaving a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 2551.39344
Deduct 244 from 260 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 2551.39344 with a remaining 1.6e-05.