We're dividing 340906 by 42 
We're looking to find how many times 42 goes into 340906.

Let's proceed to step 1:
3 divided by 42 is 0 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.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 42

On to step 2:
42 goes into 34 0 times with a remainder of 34.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Append the next digit (0) from the dividend to 34 and continue with: 340 / 42

Moving on to step 3:
340 divided by 42 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 8.0
If we take 336 away from 340, we end up with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 42

Moving on to step 4:
42 can be fit into 49 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 81.0
The remainder is 7 after subtracting 42 from 49.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 42

Let's proceed to step 5:
The number 42 fits into 70 1 times, leaving a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 811.0
If we subtract 42 from 70, we get 28.
Bring next digit (6) of the dividend behind the 28 and repeat the process: 286 / 42

Let's proceed to step 6:
286 divided by 42 is 6 with a remainder of 34.
The number 6 becomes the next digit in our result. 
Result so far: 8116.0
If we subtract 252 from 286, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
42 goes into 340 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 8116.8
If we take 336 away from 340, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 8:
42 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8116.8
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 8116.809
Subtracting 378 from 400 leaves us 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.

On to step 10:
220 divided by 42 is 5 with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 8116.8095
Deduct 210 from 220 and we're left 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.

Moving on to step 11:
42 goes into 100 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 8116.80952
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
If we divide 160 by 42, we get 3 and a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 8116.809523
Subtracting 126 from 160 leaves us 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.

Step 13:
The number 42 fits into 340 8 times, leaving a remainder of 4.
The next digit of our result is 8. 
Result so far: 8116.8095238
If we subtract 336 from 340, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
The number 42 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8116.8095238
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 8116.8095238, with a leftover of 4e-08.