668079 ÷ 42 
We're looking to find how many times 42 goes into 668079.

Moving on to step 1:
When dividing 6 by 42, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 42

Step 2:
When dividing 66 by 42, we get 1 with a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 66 and we're left with 24.
Include the next digit (8) from the dividend after 24, then repeat: 248 / 42

Moving on to step 3:
42 goes into 248 5 times with a remainder of 38.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 210 from 248 leaves us with 38.
Include the next digit (0) from the dividend after 38, then repeat: 380 / 42

Let's proceed to step 4:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 159.0
Deduct 378 from 380 and we're left with 2.
Grab the next digit (7) from the dividend, add it to 2, then carry on: 27 / 42

Let's proceed to step 5:
27 divided by 42 is 0 with a remainder of 27.
Record the quotient 0 as the next digit in the result. 
Result so far: 1590.0
Subtracting 0 from 27 leaves us with 27.
Fetch the next digit (9) from the dividend, attach it to 27 and continue: 279 / 42

On to step 6:
The number 42 fits into 279 6 times, leaving a remainder of 27.
Put 6 as the next digit of the answer. 
Result so far: 15906.0
If we subtract 252 from 279, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
When dividing 270 by 42, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 15906.6
If we take 252 away from 270, we end up 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.

Let's proceed to step 8:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 15906.64
The remainder is 12 after subtracting 168 from 180.
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 9:
42 can be fit into 120 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 15906.642
The remainder is 36 after subtracting 84 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
If we divide 360 by 42, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 15906.6428
Subtracting 336 from 360 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 11:
42 goes into 240 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 15906.64285
Subtracting 210 from 240 leaves us 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.

Moving on to step 12:
If we divide 300 by 42, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 15906.642857
Deduct 294 from 300 and we're left with 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 13:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 15906.6428571
If we take 42 away from 60, we end up 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.

Advancing to step 14:
180 divided by 42 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 15906.64285714
If we take 168 away from 180, we end up 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.

In conclusion, the division gives 15906.64285714 with a balance of 1.2e-08.