We're dividing 42962 by 34 
We want to divide 42962 by 34.

Step 1:
When dividing 4 by 34, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 34

Advancing to step 2:
When dividing 42 by 34, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 34 from 42 leaves us with 8.
Include the next digit (9) from the dividend after 8, then repeat: 89 / 34

Step 3:
If we divide 89 by 34, we get 2 and a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 68 from 89 and we're left with 21.
Include the next digit (6) from the dividend after 21, then repeat: 216 / 34

Step 4:
34 can be fit into 216 6 times, resulting in a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 126.0
If we take 204 away from 216, we end up with 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 34

On to step 5:
122 divided by 34 is 3 with a remainder of 20.
The number 3 becomes the next digit in our result. 
Result so far: 1263.0
Deduct 102 from 122 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 6:
200 divided by 34 is 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 1263.5
The remainder is 30 after subtracting 170 from 200.
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 7:
34 goes into 300 8 times with a remainder of 28.
The next digit of our result is 8. 
Result so far: 1263.58
Subtracting 272 from 300 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
34 goes into 280 8 times with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 1263.588
The remainder is 8 after subtracting 272 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The final outcome is 1263.588, with a leftover of 0.0008.