653299 ÷ 42 
The aim is to understand the frequency of 42 in 653299.

Advancing to step 1:
The number 42 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 42

Let's proceed to step 2:
42 can be fit into 65 1 times, resulting in a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 42 from 65 leaves us with 23.
Bring next digit (3) of the dividend behind the 23 and repeat the process: 233 / 42

Advancing to step 3:
When dividing 233 by 42, we get 5 with a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
The remainder is 23 after subtracting 210 from 233.
Bring next digit (2) of the dividend behind the 23 and repeat the process: 232 / 42

Let's proceed to step 4:
If we divide 232 by 42, we get 5 and a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 155.0
Subtracting 210 from 232 leaves us with 22.
Fetch the next digit (9) from the dividend, attach it to 22 and continue: 229 / 42

Moving on to step 5:
The number 42 fits into 229 5 times, leaving a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 1555.0
Deduct 210 from 229 and we're left with 19.
Fetch the next digit (9) from the dividend, attach it to 19 and continue: 199 / 42

On to step 6:
199 divided by 42 is 4 with a remainder of 31.
The next digit of our result is 4. 
Result so far: 15554.0
The remainder is 31 after subtracting 168 from 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
42 goes into 310 7 times with a remainder of 16.
Write down 7 as next digit of the result. 
Result so far: 15554.7
If we take 294 away from 310, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
160 divided by 42 is 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 15554.73
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 9:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 15554.738
If we take 336 away from 340, we end up 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.

Step 10:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 15554.738
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 11:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 15554.73809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 12:
42 can be fit into 220 5 times, resulting in a remainder of 10.
The next digit of our result is 5. 
Result so far: 15554.738095
Deduct 210 from 220 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
42 goes into 100 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 15554.7380952
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
42 can be fit into 160 3 times, resulting in a remainder of 34.
The next digit of our result is 3. 
Result so far: 15554.73809523
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The quotient of the division is 15554.73809523, and the remainder is 3.4e-08.