644527 divided by 42 
The aim is to understand the frequency of 42 in 644527.

On to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 42

Advancing to step 2:
42 can be fit into 64 1 times, resulting in a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 42 from 64 to get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 42

Step 3:
224 divided by 42 is 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 14 after subtracting 210 from 224.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 42

Going ahead to step 4:
The number 42 fits into 145 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 153.0
If we subtract 126 from 145, we get 19.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 42

Step 5:
The number 42 fits into 192 4 times, leaving a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 1534.0
Deduct 168 from 192 and we're left with 24.
Bring next digit (7) of the dividend behind the 24 and repeat the process: 247 / 42

Moving on to step 6:
If we divide 247 by 42, we get 5 and a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 15345.0
If we take 210 away from 247, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 7:
If we divide 370 by 42, we get 8 and a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 15345.8
If we take 336 away from 370, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 8:
340 divided by 42 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 15345.88
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 15345.88 with a balance of 0.004.