19113 divided by 61 
The aim is to understand the frequency of 61 in 19113.

Let's proceed to step 1:
When dividing 1 by 61, we get 0 with 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.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 61

Let's proceed to step 2:
19 divided by 61 is 0 with a remainder of 19.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 61

On to step 3:
If we divide 191 by 61, we get 3 and a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtract 183 from 191 to get 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 61

Step 4:
61 goes into 81 1 times with a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtract 61 from 81 to get 20.
Grab the next digit (3) from the dividend, add it to 20, then carry on: 203 / 61

Step 5:
61 can be fit into 203 3 times, resulting in a remainder of 20.
Put 3 as the next digit of the answer. 
Result so far: 313.0
Deduct 183 from 203 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 6:
If we divide 200 by 61, we get 3 and a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 313.3
Subtracting 183 from 200 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 7:
When dividing 170 by 61, we get 2 with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 313.32
Deduct 122 from 170 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 8:
When dividing 480 by 61, we get 7 with a remainder of 53.
The next digit of our result is 7. 
Result so far: 313.327
If we subtract 427 from 480, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 9:
530 divided by 61 is 8 with a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 313.3278
Deduct 488 from 530 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 10:
61 goes into 420 6 times with a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 313.32786
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 11:
If we divide 540 by 61, we get 8 and a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 313.327868
Subtracting 488 from 540 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 12:
When dividing 520 by 61, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 313.3278688
Deduct 488 from 520 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 313.3278688 with a balance of 3.2e-07.