106121 ÷ 4 
The aim is to understand the frequency of 4 in 106121.

Moving on to step 1:
If we divide 1 by 4, we get 0 and 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.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 4

Moving on to step 2:
When dividing 10 by 4, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 8 from 10, we get 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 4

Going ahead to step 3:
The number 4 fits into 26 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
The remainder is 2 after subtracting 24 from 26.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 4

Let's proceed to step 4:
The number 4 fits into 21 5 times, leaving a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 265.0
The remainder is 1 after subtracting 20 from 21.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 4

On to step 5:
4 can be fit into 12 3 times, resulting in a remainder of 0.
The next digit of our result is 3. 
Result so far: 2653.0
The remainder is 0 after subtracting 12 from 12.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 4

On to step 6:
1 divided by 4 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 26530.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 4, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 26530.2
Deduct 8 from 10 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 8:
20 divided by 4 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 26530.25
Deduct 20 from 20 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
4 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 26530.25
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
If we divide 0 by 4, we get 0 and a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 26530.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 26530.25, and the remainder is 0.0.