Let's divide 642727 by 42
We want to figure out the number of times 642727 can be divided by 42.

On to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 42

Step 2:
42 goes into 64 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 42 away from 64, we end up with 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 42

Let's proceed to step 3:
42 goes into 222 5 times with a remainder of 12.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 210 away from 222, we end up with 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 42

On to step 4:
42 can be fit into 127 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 153.0
Subtract 126 from 127 to get 1.
Take the next digit (2) from the dividend and append it to 1, then repeat: 12 / 42

On to step 5:
If we divide 12 by 42, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 1530.0
Subtract 0 from 12 to get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 42

Going ahead to step 6:
127 divided by 42 is 3 with a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 15303.0
Deduct 126 from 127 and we're left with 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:
42 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15303.0
Subtracting 0 from 10 leaves us 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.

Step 8:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 15303.02
Deduct 84 from 100 and we're left 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.

Moving on to step 9:
42 goes into 160 3 times with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 15303.023
Subtracting 126 from 160 leaves us 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.

Let's proceed to step 10:
When dividing 340 by 42, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 15303.0238
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 11:
If we divide 40 by 42, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 15303.0238
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 12:
42 goes into 400 9 times with a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 15303.023809
If we subtract 378 from 400, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 13:
42 goes into 220 5 times with a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 15303.0238095
If we subtract 210 from 220, we get 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 14:
42 goes into 100 2 times with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 15303.02380952
If we take 84 away from 100, 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.

Our division results in 15303.02380952 with a remaining 1.6e-08.