Let's divide 603600 by 61
The aim is to understand the frequency of 61 in 603600.

Step 1:
6 divided by 61 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 61

Step 2:
61 can be fit into 60 0 times, resulting in a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 60 to get 60.
Take the next digit (3) from the dividend and append it to 60, then repeat: 603 / 61

On to step 3:
61 can be fit into 603 9 times, resulting in a remainder of 54.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we subtract 549 from 603, we get 54.
Fetch the next digit (6) from the dividend, attach it to 54 and continue: 546 / 61

Step 4:
When dividing 546 by 61, we get 8 with a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Subtracting 488 from 546 leaves us with 58.
Bring next digit (0) of the dividend behind the 58 and repeat the process: 580 / 61

Moving on to step 5:
580 divided by 61 is 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 989.0
The remainder is 31 after subtracting 549 from 580.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 61

Going ahead to step 6:
When dividing 310 by 61, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 9895.0
Deduct 305 from 310 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
If we divide 50 by 61, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 9895.0
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
When dividing 500 by 61, we get 8 with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 9895.08
If we take 488 away from 500, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
61 goes into 120 1 times with a remainder of 59.
Put 1 as the next digit of the answer. 
Result so far: 9895.081
If we take 61 away from 120, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Advancing to step 10:
If we divide 590 by 61, we get 9 and a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 9895.0819
Subtract 549 from 590 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 11:
The number 61 fits into 410 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 9895.08196
If we take 366 away from 410, we end up 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.

Moving on to step 12:
61 can be fit into 440 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 9895.081967
If we subtract 427 from 440, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 13:
61 goes into 130 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 9895.0819672
Subtracting 122 from 130 leaves us 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.

Moving on to step 14:
If we divide 80 by 61, we get 1 and a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 9895.08196721
Subtracting 61 from 80 leaves us 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.

The final result is 9895.08196721 with a remainder of 1.9e-08.