We're dividing 10438 by 61 
The aim is to understand the frequency of 61 in 10438.

Step 1:
The number 61 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 61

On to step 2:
If we divide 10 by 61, we get 0 and a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (4) of the dividend behind the 10 and repeat the process: 104 / 61

Going ahead to step 3:
If we divide 104 by 61, we get 1 and a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 43 after subtracting 61 from 104.
Append the next digit (3) from the dividend to 43 and continue with: 433 / 61

On to step 4:
When dividing 433 by 61, we get 7 with a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
The remainder is 6 after subtracting 427 from 433.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 61

Moving on to step 5:
61 can be fit into 68 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 171.0
The remainder is 7 after subtracting 61 from 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 6:
70 divided by 61 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 171.1
If we take 61 away from 70, we end up 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.

Moving on to step 7:
When dividing 90 by 61, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 171.11
Deduct 61 from 90 and we're left 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 171.11 and a remainder of 0.029.