665793 ÷ 42 
Our goal is to divide 665793 by 42.

Let's proceed to step 1:
If we divide 6 by 42, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 42

Step 2:
When dividing 66 by 42, we get 1 with a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 24 after subtracting 42 from 66.
Take the next digit (5) from the dividend and append it to 24, then repeat: 245 / 42

Let's proceed to step 3:
If we divide 245 by 42, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 15.0
The remainder is 35 after subtracting 210 from 245.
Bring next digit (7) of the dividend behind the 35 and repeat the process: 357 / 42

Step 4:
357 divided by 42 is 8 with a remainder of 21.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
Deduct 336 from 357 and we're left with 21.
Bring next digit (9) of the dividend behind the 21 and repeat the process: 219 / 42

Step 5:
The number 42 fits into 219 5 times, leaving a remainder of 9.
The next digit of our result is 5. 
Result so far: 1585.0
The remainder is 9 after subtracting 210 from 219.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 42

Going ahead to step 6:
42 goes into 93 2 times with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 15852.0
Subtract 84 from 93 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 7:
42 goes into 90 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 15852.2
If we subtract 84 from 90, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
When dividing 60 by 42, we get 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 15852.21
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 9:
42 goes into 180 4 times with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 15852.214
Deduct 168 from 180 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
120 divided by 42 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 15852.2142
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 11:
When dividing 360 by 42, we get 8 with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 15852.21428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
The number 42 fits into 240 5 times, leaving a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15852.214285
If we take 210 away from 240, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
300 divided by 42 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 15852.2142857
If we subtract 294 from 300, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
When dividing 60 by 42, we get 1 with a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 15852.21428571
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 15852.21428571 with a remainder of 1.8e-08.