We're dividing 634465 by 61 
The aim is to understand the frequency of 61 in 634465.

Advancing to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 61

On to step 2:
The number 61 fits into 63 1 times, leaving a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 61 from 63 and we're left with 2.
Fetch the next digit (4) from the dividend, attach it to 2 and continue: 24 / 61

Going ahead to step 3:
61 can be fit into 24 0 times, resulting in a remainder of 24.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we subtract 0 from 24, we get 24.
Take the next digit (4) from the dividend and append it to 24, then repeat: 244 / 61

Moving on to step 4:
61 goes into 244 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 104.0
Subtract 244 from 244 to get 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 61

Step 5:
When dividing 6 by 61, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 1040.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 61

Step 6:
65 divided by 61 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 10401.0
Deduct 61 from 65 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
40 divided by 61 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 10401.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
The number 61 fits into 400 6 times, leaving a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 10401.06
Subtract 366 from 400 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
340 divided by 61 is 5 with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10401.065
If we take 305 away from 340, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 10:
When dividing 350 by 61, we get 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 10401.0655
If we subtract 305 from 350, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Our division results in 10401.0655 with a remaining 0.00045.