We look at the division of 345614 by 42 
We're looking to find how many times 42 goes into 345614.

Let's proceed to step 1:
42 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 42

Let's proceed to step 2:
The number 42 fits into 34 0 times, leaving a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Fetch the next digit (5) from the dividend, attach it to 34 and continue: 345 / 42

On to step 3:
The number 42 fits into 345 8 times, leaving a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 336 from 345 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 42

Moving on to step 4:
The number 42 fits into 96 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 82.0
Deduct 84 from 96 and we're left with 12.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 42

On to step 5:
If we divide 121 by 42, we get 2 and a remainder of 37.
Record the quotient 2 as the next digit in the result. 
Result so far: 822.0
If we subtract 84 from 121, we get 37.
Append the next digit (4) from the dividend to 37 and continue with: 374 / 42

Advancing to step 6:
374 divided by 42 is 8 with a remainder of 38.
The next digit of our result is 8. 
Result so far: 8228.0
Subtract 336 from 374 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.

On to step 7:
380 divided by 42 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 8228.9
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 42, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 8228.9
Subtracting 0 from 20 leaves us with 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 9:
200 divided by 42 is 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 8228.904
If we take 168 away from 200, we end up 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.

Let's proceed to step 10:
If we divide 320 by 42, we get 7 and a remainder of 26.
Record the quotient 7 as the next digit in the result. 
Result so far: 8228.9047
Deduct 294 from 320 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
260 divided by 42 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 8228.90476
If we take 252 away from 260, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 12:
80 divided by 42 is 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 8228.904761
Subtracting 42 from 80 leaves us 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.

On to step 13:
380 divided by 42 is 9 with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 8228.9047619
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.

Step 14:
If we divide 20 by 42, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 8228.9047619
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 8228.9047619 with a remainder of 2e-08.