653338 ÷ 42 
We're looking to find how many times 42 goes into 653338.

Step 1:
42 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 42

Let's proceed to step 2:
When dividing 65 by 42, we get 1 with a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 42 from 65 to get 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 42

Let's proceed to step 3:
42 can be fit into 233 5 times, resulting in a remainder of 23.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 210 from 233 to get 23.
Include the next digit (3) from the dividend after 23, then repeat: 233 / 42

Moving on to step 4:
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: 155.0
If we take 210 away from 233, we end up with 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 42

Let's proceed to step 5:
42 can be fit into 233 5 times, resulting in a remainder of 23.
The next digit of our result is 5. 
Result so far: 1555.0
Deduct 210 from 233 and we're left with 23.
Take the next digit (8) from the dividend and append it to 23, then repeat: 238 / 42

Advancing to step 6:
238 divided by 42 is 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 15555.0
Deduct 210 from 238 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
280 divided by 42 is 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 15555.6
Subtract 252 from 280 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 8:
The number 42 fits into 280 6 times, leaving a remainder of 28.
Put 6 as the next digit of the answer. 
Result so far: 15555.66
Subtracting 252 from 280 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 15555.66 with a remainder of 0.028.