122776 ÷ 61 
The aim is to understand the frequency of 61 in 122776.

On to step 1:
If we divide 1 by 61, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 61

Let's proceed to step 2:
When dividing 12 by 61, we get 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 12 to get 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 61

Let's proceed to step 3:
61 goes into 122 2 times with a remainder of 0.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 122 from 122 and we're left with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 61

Moving on to step 4:
The number 61 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 7 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 61

Advancing to step 5:
61 goes into 77 1 times with a remainder of 16.
The number 1 becomes the next digit in our result. 
Result so far: 201.0
Deduct 61 from 77 and we're left with 16.
Grab the next digit (6) from the dividend, add it to 16, then carry on: 166 / 61

Moving on to step 6:
If we divide 166 by 61, we get 2 and a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 2012.0
Subtracting 122 from 166 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 7:
If we divide 440 by 61, we get 7 and a remainder of 13.
The next digit of our result is 7. 
Result so far: 2012.7
If we take 427 away from 440, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 8:
130 divided by 61 is 2 with a remainder of 8.
The next digit of our result is 2. 
Result so far: 2012.72
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.

On to step 9:
61 can be fit into 80 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 2012.721
Deduct 61 from 80 and we're left 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.

Moving on to step 10:
61 goes into 190 3 times with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 2012.7213
The remainder is 7 after subtracting 183 from 190.
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:
When dividing 70 by 61, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 2012.72131
Deduct 61 from 70 and we're left 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.

Let's proceed to step 12:
When dividing 90 by 61, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 2012.721311
If we take 61 away from 90, we end up with 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 2012.721311 and a remainder of 2.9e-06.