349221 ÷ 42 
We're looking to find how many times 42 goes into 349221.

On to step 1:
When dividing 3 by 42, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 42

Advancing to step 2:
The number 42 fits into 34 0 times, leaving a remainder of 34.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Bring next digit (9) of the dividend behind the 34 and repeat the process: 349 / 42

Advancing to step 3:
42 goes into 349 8 times with a remainder of 13.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 336 from 349 to get 13.
Take the next digit (2) from the dividend and append it to 13, then repeat: 132 / 42

Moving on to step 4:
If we divide 132 by 42, we get 3 and a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
The remainder is 6 after subtracting 126 from 132.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 42

Moving on to step 5:
When dividing 62 by 42, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 831.0
Subtracting 42 from 62 leaves us with 20.
Fetch the next digit (1) from the dividend, attach it to 20 and continue: 201 / 42

Let's proceed to step 6:
If we divide 201 by 42, we get 4 and a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 8314.0
Subtract 168 from 201 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
The number 42 fits into 330 7 times, leaving a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 8314.7
Subtract 294 from 330 to 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.

Going ahead to step 8:
The number 42 fits into 360 8 times, leaving a remainder of 24.
The next digit of our result is 8. 
Result so far: 8314.78
Subtract 336 from 360 to 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.

Moving on to step 9:
When dividing 240 by 42, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 8314.785
The remainder is 30 after subtracting 210 from 240.
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 10:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 8314.7857
Subtracting 294 from 300 leaves us 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.

Step 11:
60 divided by 42 is 1 with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 8314.78571
If we take 42 away from 60, we end up with 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 12:
If we divide 180 by 42, we get 4 and a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 8314.785714
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.

Step 13:
When dividing 120 by 42, we get 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 8314.7857142
Subtract 84 from 120 to 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.

On to step 14:
If we divide 360 by 42, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 8314.78571428
If we take 336 away from 360, 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.

After the division, we end up with 8314.78571428 and a remainder of 2.4e-08.