Let's divide 314355 by 42
Our goal is to divide 314355 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
Deduct 0 from 3 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 42

Moving on to step 2:
If we divide 31 by 42, we get 0 and a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 42

Going ahead to step 3:
When dividing 314 by 42, we get 7 with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Deduct 294 from 314 and we're left with 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 42

Moving on to step 4:
When dividing 203 by 42, we get 4 with a remainder of 35.
Write down 4 as next digit of the result. 
Result so far: 74.0
Deduct 168 from 203 and we're left with 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 42

Going ahead to step 5:
If we divide 355 by 42, we get 8 and a remainder of 19.
Put 8 as the next digit of the answer. 
Result so far: 748.0
Subtract 336 from 355 to get 19.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 42

Moving on to step 6:
195 divided by 42 is 4 with a remainder of 27.
The next digit of our result is 4. 
Result so far: 7484.0
The remainder is 27 after subtracting 168 from 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 7:
42 goes into 270 6 times with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 7484.6
If we subtract 252 from 270, we get 18.
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 8:
The number 42 fits into 180 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 7484.64
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
When dividing 120 by 42, we get 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 7484.642
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.

Advancing to step 10:
42 can be fit into 360 8 times, resulting in a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 7484.6428
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.

Step 11:
If we divide 240 by 42, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 7484.64285
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.

Advancing to step 12:
If we divide 300 by 42, we get 7 and a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 7484.642857
Subtract 294 from 300 to 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.

Advancing to step 13:
The number 42 fits into 60 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 7484.6428571
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.

Advancing to step 14:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 7484.64285714
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.

Our division results in 7484.64285714 with a remaining 1.2e-08.