126600 divided by 61 
The aim is to understand the frequency of 61 in 126600.

Advancing to step 1:
1 divided by 61 is 0 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.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 61

Moving on to step 2:
61 goes into 12 0 times with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Bring next digit (6) of the dividend behind the 12 and repeat the process: 126 / 61

Step 3:
The number 61 fits into 126 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 4 after subtracting 122 from 126.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 61

Moving on to step 4:
61 can be fit into 46 0 times, resulting in a remainder of 46.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we take 0 away from 46, we end up with 46.
Fetch the next digit (0) from the dividend, attach it to 46 and continue: 460 / 61

On to step 5:
61 goes into 460 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 207.0
The remainder is 33 after subtracting 427 from 460.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 61

Let's proceed to step 6:
When dividing 330 by 61, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 2075.0
Subtract 305 from 330 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 7:
61 can be fit into 250 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 2075.4
The remainder is 6 after subtracting 244 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 8:
If we divide 60 by 61, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 2075.4
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 9:
When dividing 600 by 61, we get 9 with a remainder of 51.
The number 9 becomes the next digit in our result. 
Result so far: 2075.409
Subtract 549 from 600 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 10:
61 goes into 510 8 times with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 2075.4098
If we take 488 away from 510, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 11:
220 divided by 61 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 2075.40983
Subtract 183 from 220 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 12:
61 can be fit into 370 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 2075.409836
Deduct 366 from 370 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.

Let's proceed to step 13:
40 divided by 61 is 0 with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 2075.409836
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 14:
When dividing 400 by 61, we get 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 2075.40983606
Subtracting 366 from 400 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 2075.40983606, and the remainder is 3.4e-08.