349959 ÷ 42 
Our goal is to divide 349959 by 42.

Advancing to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 42

Let's proceed to step 2:
34 divided by 42 is 0 with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 34 leaves us with 34.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 42

Going ahead to step 3:
42 goes into 349 8 times with a remainder of 13.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 13 after subtracting 336 from 349.
Include the next digit (9) from the dividend after 13, then repeat: 139 / 42

On to step 4:
When dividing 139 by 42, we get 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 83.0
If we subtract 126 from 139, we get 13.
Fetch the next digit (5) from the dividend, attach it to 13 and continue: 135 / 42

On to step 5:
135 divided by 42 is 3 with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 833.0
If we subtract 126 from 135, we get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 42

On to step 6:
42 goes into 99 2 times with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 8332.0
If we subtract 84 from 99, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
42 can be fit into 150 3 times, resulting in a remainder of 24.
The next digit of our result is 3. 
Result so far: 8332.3
If we take 126 away from 150, we end up 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.

Moving on to step 8:
42 goes into 240 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 8332.35
If we take 210 away from 240, we end up 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.

Step 9:
42 goes into 300 7 times with a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 8332.357
If we take 294 away from 300, we end up 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.

Moving on to step 10:
60 divided by 42 is 1 with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 8332.3571
If we subtract 42 from 60, 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.

Advancing to step 11:
If we divide 180 by 42, we get 4 and a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 8332.35714
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.

Moving on to step 12:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 8332.357142
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 13:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 8332.3571428
If we subtract 336 from 360, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
240 divided by 42 is 5 with a remainder of 30.
Record the quotient 5 as the next digit in the result. 
Result so far: 8332.35714285
If we take 210 away from 240, we end up 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.

Our division results in 8332.35714285 with a remaining 3e-08.