345334 ÷ 42 
We're looking to find how many times 42 goes into 345334.

On to step 1:
42 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 42

Step 2:
If we divide 34 by 42, we get 0 and a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 42

Step 3:
42 can be fit into 345 8 times, resulting in a remainder of 9.
Write down 8 as next digit of the result. 
Result so far: 8.0
The remainder is 9 after subtracting 336 from 345.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 42

Let's proceed to step 4:
42 can be fit into 93 2 times, resulting in a remainder of 9.
The next digit of our result is 2. 
Result so far: 82.0
If we subtract 84 from 93, we get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 42

On to step 5:
The number 42 fits into 93 2 times, leaving a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 822.0
Deduct 84 from 93 and we're left with 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 42

Step 6:
If we divide 94 by 42, we get 2 and a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 8222.0
Subtracting 84 from 94 leaves us 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.

Advancing to step 7:
When dividing 100 by 42, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 8222.2
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 8:
42 goes into 160 3 times with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 8222.23
If we take 126 away from 160, we end up 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.

Let's proceed to step 9:
The number 42 fits into 340 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8222.238
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
40 divided by 42 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8222.238
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 11:
400 divided by 42 is 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 8222.23809
If we take 378 away from 400, we end up 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.

Step 12:
220 divided by 42 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8222.238095
Subtracting 210 from 220 leaves us 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.

On to step 13:
When dividing 100 by 42, we get 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 8222.2380952
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 14:
If we divide 160 by 42, we get 3 and a remainder of 34.
The next digit of our result is 3. 
Result so far: 8222.23809523
The remainder is 34 after subtracting 126 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 8222.23809523 with a remainder of 3.4e-08.