42711 ÷ 34 
We want to figure out the number of times 42711 can be divided by 34.

Advancing to step 1:
34 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 34

Advancing to step 2:
34 goes into 42 1 times with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 34 from 42 and we're left with 8.
Fetch the next digit (7) from the dividend, attach it to 8 and continue: 87 / 34

Let's proceed to step 3:
When dividing 87 by 34, we get 2 with a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we subtract 68 from 87, we get 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 34

Step 4:
When dividing 191 by 34, we get 5 with a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 125.0
Subtract 170 from 191 to get 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 34

Advancing to step 5:
34 goes into 211 6 times with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 1256.0
Subtracting 204 from 211 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 6:
34 can be fit into 70 2 times, resulting in a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 1256.2
Subtract 68 from 70 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
The number 34 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1256.2
Subtract 0 from 20 to get 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 8:
When dividing 200 by 34, we get 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 1256.205
Subtracting 170 from 200 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 9:
When dividing 300 by 34, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 1256.2058
Subtract 272 from 300 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 10:
When dividing 280 by 34, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 1256.20588
Subtract 272 from 280 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 1256.20588 with a remaining 8e-06.