314668 divided by 42 
Our goal is to divide 314668 by 42.

Going ahead to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 42

Let's proceed to step 2:
When dividing 31 by 42, we get 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 42

Going ahead to step 3:
The number 42 fits into 314 7 times, leaving a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we take 294 away from 314, we end up with 20.
Include the next digit (6) from the dividend after 20, then repeat: 206 / 42

Moving on to step 4:
When dividing 206 by 42, we get 4 with a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 74.0
Deduct 168 from 206 and we're left with 38.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 42

Step 5:
386 divided by 42 is 9 with a remainder of 8.
The next digit of our result is 9. 
Result so far: 749.0
Subtracting 378 from 386 leaves us with 8.
Grab the next digit (8) from the dividend, add it to 8, then carry on: 88 / 42

Advancing to step 6:
88 divided by 42 is 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 7492.0
If we take 84 away from 88, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
If we divide 40 by 42, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 7492.0
If we subtract 0 from 40, we get 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 8:
If we divide 400 by 42, we get 9 and a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 7492.09
Deduct 378 from 400 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 9:
220 divided by 42 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 7492.095
Deduct 210 from 220 and we're left 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.

Going ahead to step 10:
When dividing 100 by 42, we get 2 with a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 7492.0952
Subtract 84 from 100 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 11:
42 can be fit into 160 3 times, resulting in a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 7492.09523
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.

Advancing to step 12:
42 can be fit into 340 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 7492.095238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 13:
When dividing 40 by 42, we get 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 7492.095238
The remainder is 40 after subtracting 0 from 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 14:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The next digit of our result is 9. 
Result so far: 7492.09523809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 7492.09523809, and the remainder is 2.2e-08.