41234871 ÷ 340 
We want to figure out the number of times 41234871 can be divided by 340.

On to step 1:
The number 340 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 340

Step 2:
The number 340 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Fetch the next digit (2) from the dividend, attach it to 41 and continue: 412 / 340

On to step 3:
If we divide 412 by 340, we get 1 and a remainder of 72.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 340 from 412 to get 72.
Bring next digit (3) of the dividend behind the 72 and repeat the process: 723 / 340

On to step 4:
If we divide 723 by 340, we get 2 and a remainder of 43.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 680 from 723 and we're left with 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 340

Step 5:
When dividing 434 by 340, we get 1 with a remainder of 94.
The next digit of our result is 1. 
Result so far: 121.0
Deduct 340 from 434 and we're left with 94.
Take the next digit (8) from the dividend and append it to 94, then repeat: 948 / 340

Step 6:
948 divided by 340 is 2 with a remainder of 268.
The next digit of our result is 2. 
Result so far: 1212.0
Subtracting 680 from 948 leaves us with 268.
Bring next digit (7) of the dividend behind the 268 and repeat the process: 2687 / 340

On to step 7:
340 goes into 2687 7 times with a remainder of 307.
Use 7 as the next digit of our solution. 
Result so far: 12127.0
Deduct 2380 from 2687 and we're left with 307.
Bring next digit (1) of the dividend behind the 307 and repeat the process: 3071 / 340

Advancing to step 8:
If we divide 3071 by 340, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 121279.0
If we take 3060 away from 3071, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
340 can be fit into 110 0 times, resulting in a remainder of 110.
Put 0 as the next digit of the answer. 
Result so far: 121279.0
If we subtract 0 from 110, we get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 10:
If we divide 1100 by 340, we get 3 and a remainder of 80.
Write down 3 as next digit of the result. 
Result so far: 121279.03
Subtracting 1020 from 1100 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 11:
If we divide 800 by 340, we get 2 and a remainder of 120.
Write down 2 as next digit of the result. 
Result so far: 121279.032
Subtract 680 from 800 to get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Going ahead to step 12:
340 goes into 1200 3 times with a remainder of 180.
Record the quotient 3 as the next digit in the result. 
Result so far: 121279.0323
Subtracting 1020 from 1200 leaves us with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Let's proceed to step 13:
When dividing 1800 by 340, we get 5 with a remainder of 100.
Write down 5 as next digit of the result. 
Result so far: 121279.03235
If we take 1700 away from 1800, we end up with 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Moving on to step 14:
When dividing 1000 by 340, we get 2 with a remainder of 320.
Put 2 as the next digit of the answer. 
Result so far: 121279.032352
Subtracting 680 from 1000 leaves us with 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Let's proceed to step 15:
If we divide 3200 by 340, we get 9 and a remainder of 140.
The next digit of our result is 9. 
Result so far: 121279.0323529
If we subtract 3060 from 3200, we get 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Moving on to step 16:
340 goes into 1400 4 times with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 121279.03235294
If we take 1360 away from 1400, 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.

The final result is 121279.03235294 with a remainder of 4e-08.