101332 divided by 61 
The aim is to understand the frequency of 61 in 101332.

Advancing to step 1:
61 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 61

Let's proceed to step 2:
If we divide 10 by 61, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 61

Step 3:
101 divided by 61 is 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 61 away from 101, we end up with 40.
Take the next digit (3) from the dividend and append it to 40, then repeat: 403 / 61

On to step 4:
61 can be fit into 403 6 times, resulting in a remainder of 37.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 366 from 403 and we're left with 37.
Grab the next digit (3) from the dividend, add it to 37, then carry on: 373 / 61

On to step 5:
61 goes into 373 6 times with a remainder of 7.
The number 6 becomes the next digit in our result. 
Result so far: 166.0
Subtracting 366 from 373 leaves us with 7.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 61

Going ahead to step 6:
The number 61 fits into 72 1 times, leaving a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 1661.0
Deduct 61 from 72 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
The number 61 fits into 110 1 times, leaving a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 1661.1
Deduct 61 from 110 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 8:
490 divided by 61 is 8 with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 1661.18
If we subtract 488 from 490, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
20 divided by 61 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 1661.18
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 10:
61 goes into 200 3 times with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1661.1803
Deduct 183 from 200 and we're left 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.

On to step 11:
When dividing 170 by 61, we get 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 1661.18032
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.

Let's proceed to step 12:
61 can be fit into 480 7 times, resulting in a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1661.180327
Subtract 427 from 480 to 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 13:
61 can be fit into 530 8 times, resulting in a remainder of 42.
Put 8 as the next digit of the answer. 
Result so far: 1661.1803278
Subtracting 488 from 530 leaves us 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.

On to step 14:
61 can be fit into 420 6 times, resulting in a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 1661.18032786
If we take 366 away from 420, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

After the division, we end up with 1661.18032786 and a remainder of 5.4e-08.