We're dividing 441314 by 34 
We want to figure out the number of times 441314 can be divided by 34.

Let's proceed to step 1:
4 divided by 34 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 34

Step 2:
The number 34 fits into 44 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 34 from 44 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 34

Going ahead to step 3:
If we divide 101 by 34, we get 2 and a remainder of 33.
Write down 2 as next digit of the result. 
Result so far: 12.0
The remainder is 33 after subtracting 68 from 101.
Fetch the next digit (3) from the dividend, attach it to 33 and continue: 333 / 34

Advancing to step 4:
34 can be fit into 333 9 times, resulting in a remainder of 27.
Write down 9 as next digit of the result. 
Result so far: 129.0
Subtracting 306 from 333 leaves us with 27.
Take the next digit (1) from the dividend and append it to 27, then repeat: 271 / 34

Moving on to step 5:
34 can be fit into 271 7 times, resulting in a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 1297.0
The remainder is 33 after subtracting 238 from 271.
Bring next digit (4) of the dividend behind the 33 and repeat the process: 334 / 34

Step 6:
34 goes into 334 9 times with a remainder of 28.
Record the quotient 9 as the next digit in the result. 
Result so far: 12979.0
Deduct 306 from 334 and we're left 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.

Let's proceed to step 7:
280 divided by 34 is 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 12979.8
Subtracting 272 from 280 leaves us 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:
34 can be fit into 80 2 times, resulting in a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 12979.82
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
When dividing 120 by 34, we get 3 with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 12979.823
If we take 102 away from 120, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
If we divide 180 by 34, we get 5 and a remainder of 10.
The next digit of our result is 5. 
Result so far: 12979.8235
Deduct 170 from 180 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
34 goes into 100 2 times with a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 12979.82352
Subtract 68 from 100 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 12:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Write down 9 as next digit of the result. 
Result so far: 12979.823529
If we subtract 306 from 320, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 13:
34 goes into 140 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 12979.8235294
Subtracting 136 from 140 leaves us with 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 14:
When dividing 40 by 34, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 12979.82352941
Deduct 34 from 40 and we're left 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.

After the division, we end up with 12979.82352941 and a remainder of 6e-09.