666314 divided by 42 
We're looking to find how many times 42 goes into 666314.

Advancing 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
If we subtract 0 from 6, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 42

Going ahead to step 2:
66 divided by 42 is 1 with a remainder of 24.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 42 from 66 and we're left with 24.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 42

Moving on to step 3:
42 can be fit into 246 5 times, resulting in a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 210 away from 246, we end up with 36.
Append the next digit (3) from the dividend to 36 and continue with: 363 / 42

On to step 4:
42 goes into 363 8 times with a remainder of 27.
The number 8 becomes the next digit in our result. 
Result so far: 158.0
If we subtract 336 from 363, we get 27.
Grab the next digit (1) from the dividend, add it to 27, then carry on: 271 / 42

Moving on to step 5:
42 can be fit into 271 6 times, resulting in a remainder of 19.
Put 6 as the next digit of the answer. 
Result so far: 1586.0
If we take 252 away from 271, we end up with 19.
Bring next digit (4) of the dividend behind the 19 and repeat the process: 194 / 42

On to step 6:
The number 42 fits into 194 4 times, leaving a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 15864.0
The remainder is 26 after subtracting 168 from 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
42 can be fit into 260 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 15864.6
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
The number 42 fits into 80 1 times, leaving a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 15864.61
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 9:
If we divide 380 by 42, we get 9 and a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 15864.619
If we subtract 378 from 380, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
42 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 15864.619
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
When dividing 200 by 42, we get 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 15864.61904
Subtracting 168 from 200 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
42 goes into 320 7 times with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 15864.619047
The remainder is 26 after subtracting 294 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 13:
If we divide 260 by 42, we get 6 and a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 15864.6190476
Subtract 252 from 260 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 14:
When dividing 80 by 42, we get 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 15864.61904761
Subtract 42 from 80 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 15864.61904761 with a remaining 3.8e-08.