341942 ÷ 34 
We want to figure out the number of times 341942 can be divided by 34.

Let's proceed to step 1:
When dividing 3 by 34, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (4) from the dividend, add it to 3, then carry on: 34 / 34

Going ahead to step 2:
34 can be fit into 34 1 times, resulting in a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 34 from 34, we get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 34

Let's proceed to step 3:
1 divided by 34 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 34

Advancing to step 4:
19 divided by 34 is 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 100.0
If we take 0 away from 19, we end up with 19.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 34

Moving on to step 5:
The number 34 fits into 194 5 times, leaving a remainder of 24.
The next digit of our result is 5. 
Result so far: 1005.0
If we subtract 170 from 194, we get 24.
Grab the next digit (2) from the dividend, add it to 24, then carry on: 242 / 34

Step 6:
When dividing 242 by 34, we get 7 with a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 10057.0
Subtract 238 from 242 to 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.

Step 7:
40 divided by 34 is 1 with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 10057.1
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
34 goes into 60 1 times with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 10057.11
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 10057.11, and the remainder is 0.026.