We're dividing 61653 by 61 
The aim is to understand the frequency of 61 in 61653.

Advancing to step 1:
6 divided by 61 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 61

Moving on to step 2:
61 goes into 61 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 61 from 61 leaves us with 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 61

Advancing to step 3:
6 divided by 61 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 61

Moving on to step 4:
61 goes into 65 1 times with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
Subtract 61 from 65 to get 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 61

Advancing to step 5:
61 goes into 43 0 times with a remainder of 43.
The next digit of our result is 0. 
Result so far: 1010.0
Deduct 0 from 43 and we're left 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.

Going ahead to step 6:
61 goes into 430 7 times with a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 1010.7
Subtract 427 from 430 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
30 divided by 61 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1010.7
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
When dividing 300 by 61, we get 4 with a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 1010.704
Subtract 244 from 300 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
When dividing 560 by 61, we get 9 with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 1010.7049
The remainder is 11 after subtracting 549 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
When dividing 110 by 61, we get 1 with a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 1010.70491
Subtracting 61 from 110 leaves us 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.

Moving on to step 11:
The number 61 fits into 490 8 times, leaving a remainder of 2.
The next digit of our result is 8. 
Result so far: 1010.704918
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.

Step 12:
When dividing 20 by 61, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 1010.704918
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
When dividing 200 by 61, we get 3 with a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 1010.70491803
The remainder is 17 after subtracting 183 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 1010.70491803 with a remaining 1.7e-08.