342031 ÷ 41 
We want to figure out the number of times 342031 can be divided by 41.

Step 1:
If we divide 3 by 41, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 41

Advancing to step 2:
41 can be fit into 34 0 times, resulting in a remainder of 34.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 34 and we're left with 34.
Take the next digit (2) from the dividend and append it to 34, then repeat: 342 / 41

Going ahead to step 3:
342 divided by 41 is 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Deduct 328 from 342 and we're left with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 41

Advancing to step 4:
The number 41 fits into 140 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 83.0
Subtract 123 from 140 to get 17.
Grab the next digit (3) from the dividend, add it to 17, then carry on: 173 / 41

Advancing to step 5:
41 goes into 173 4 times with a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 834.0
If we subtract 164 from 173, we get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 41

Going ahead to step 6:
When dividing 91 by 41, we get 2 with a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 8342.0
If we subtract 82 from 91, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 8342.2
Deduct 82 from 90 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 8:
41 can be fit into 80 1 times, resulting in a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 8342.21
The remainder is 39 after subtracting 41 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
390 divided by 41 is 9 with a remainder of 21.
Use 9 as the next digit of our solution. 
Result so far: 8342.219
The remainder is 21 after subtracting 369 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
If we divide 210 by 41, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8342.2195
Subtract 205 from 210 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
If we divide 50 by 41, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 8342.21951
Subtract 41 from 50 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
When dividing 90 by 41, we get 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 8342.219512
The remainder is 8 after subtracting 82 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 13:
41 can be fit into 80 1 times, resulting in a remainder of 39.
The next digit of our result is 1. 
Result so far: 8342.2195121
Subtracting 41 from 80 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 14:
If we divide 390 by 41, we get 9 and a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 8342.21951219
Subtract 369 from 390 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Our division results in 8342.21951219 with a remaining 2.1e-08.