314349 divided by 511 
We want to figure out the number of times 314349 can be divided by 511.

Going ahead to step 1:
When dividing 3 by 511, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 511

Step 2:
31 divided by 511 is 0 with a remainder of 31.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 31, we end up with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 511

Moving on to step 3:
314 divided by 511 is 0 with a remainder of 314.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 314, we end up with 314.
Bring next digit (3) of the dividend behind the 314 and repeat the process: 3143 / 511

Let's proceed to step 4:
511 can be fit into 3143 6 times, resulting in a remainder of 77.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 3066 from 3143, we get 77.
Grab the next digit (4) from the dividend, add it to 77, then carry on: 774 / 511

Advancing to step 5:
If we divide 774 by 511, we get 1 and a remainder of 263.
The number 1 becomes the next digit in our result. 
Result so far: 61.0
If we subtract 511 from 774, we get 263.
Bring next digit (9) of the dividend behind the 263 and repeat the process: 2639 / 511

Moving on to step 6:
2639 divided by 511 is 5 with a remainder of 84.
The number 5 becomes the next digit in our result. 
Result so far: 615.0
Subtract 2555 from 2639 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 7:
The number 511 fits into 840 1 times, leaving a remainder of 329.
The number 1 becomes the next digit in our result. 
Result so far: 615.1
Subtract 511 from 840 to get 329.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3290, and continue the process.

Advancing to step 8:
511 can be fit into 3290 6 times, resulting in a remainder of 224.
Write down 6 as next digit of the result. 
Result so far: 615.16
If we take 3066 away from 3290, we end up with 224.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2240, and continue the process.

Going ahead to step 9:
When dividing 2240 by 511, we get 4 with a remainder of 196.
Write down 4 as next digit of the result. 
Result so far: 615.164
Deduct 2044 from 2240 and we're left with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Advancing to step 10:
1960 divided by 511 is 3 with a remainder of 427.
The number 3 becomes the next digit in our result. 
Result so far: 615.1643
If we take 1533 away from 1960, we end up with 427.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4270, and continue the process.

On to step 11:
If we divide 4270 by 511, we get 8 and a remainder of 182.
Record the quotient 8 as the next digit in the result. 
Result so far: 615.16438
Subtract 4088 from 4270 to get 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Step 12:
511 goes into 1820 3 times with a remainder of 287.
The next digit of our result is 3. 
Result so far: 615.164383
If we take 1533 away from 1820, we end up with 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

Let's proceed to step 13:
When dividing 2870 by 511, we get 5 with a remainder of 315.
Use 5 as the next digit of our solution. 
Result so far: 615.1643835
Deduct 2555 from 2870 and we're left with 315.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Let's proceed to step 14:
3150 divided by 511 is 6 with a remainder of 84.
The next digit of our result is 6. 
Result so far: 615.16438356
The remainder is 84 after subtracting 3066 from 3150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final outcome is 615.16438356, with a leftover of 8.4e-08.