We look at the division of 343417 by 42 
We want to divide 343417 by 42.

Let's proceed 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
The remainder is 3 after subtracting 0 from 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 42

Let's proceed to 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
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 42

Step 3:
If we divide 343 by 42, we get 8 and a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 336 from 343, we get 7.
Include the next digit (4) from the dividend after 7, then repeat: 74 / 42

Moving on to step 4:
74 divided by 42 is 1 with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 81.0
The remainder is 32 after subtracting 42 from 74.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 42

On to step 5:
If we divide 321 by 42, we get 7 and a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 817.0
If we take 294 away from 321, we end up with 27.
Take the next digit (7) from the dividend and append it to 27, then repeat: 277 / 42

Moving on to step 6:
277 divided by 42 is 6 with a remainder of 25.
The number 6 becomes the next digit in our result. 
Result so far: 8176.0
Subtracting 252 from 277 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
250 divided by 42 is 5 with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 8176.5
If we take 210 away from 250, 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.

Let's proceed to step 8:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 8176.59
Deduct 378 from 400 and we're left 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.

Advancing to step 9:
42 can be fit into 220 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 8176.595
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 10:
42 goes into 100 2 times with a remainder of 16.
The next digit of our result is 2. 
Result so far: 8176.5952
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
If we divide 160 by 42, we get 3 and a remainder of 34.
Put 3 as the next digit of the answer. 
Result so far: 8176.59523
Deduct 126 from 160 and we're left 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.

On to step 12:
340 divided by 42 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 8176.595238
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.

Going ahead to step 13:
If we divide 40 by 42, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8176.595238
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.

On to step 14:
400 divided by 42 is 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 8176.59523809
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.

The final outcome is 8176.59523809, with a leftover of 2.2e-08.