We look at the division of 314516 by 926 
We're looking to find how many times 926 goes into 314516.

On to step 1:
926 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 926

Let's proceed to step 2:
The number 926 fits into 31 0 times, leaving a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Take the next digit (4) from the dividend and append it to 31, then repeat: 314 / 926

Let's proceed to step 3:
926 can be fit into 314 0 times, resulting in a remainder of 314.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 314, we get 314.
Fetch the next digit (5) from the dividend, attach it to 314 and continue: 3145 / 926

On to step 4:
If we divide 3145 by 926, we get 3 and a remainder of 367.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 367 after subtracting 2778 from 3145.
Include the next digit (1) from the dividend after 367, then repeat: 3671 / 926

Going ahead to step 5:
The number 926 fits into 3671 3 times, leaving a remainder of 893.
Write down 3 as next digit of the result. 
Result so far: 33.0
If we subtract 2778 from 3671, we get 893.
Grab the next digit (6) from the dividend, add it to 893, then carry on: 8936 / 926

Going ahead to step 6:
When dividing 8936 by 926, we get 9 with a remainder of 602.
Write down 9 as next digit of the result. 
Result so far: 339.0
If we take 8334 away from 8936, we end up with 602.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6020, and continue the process.

Moving on to step 7:
926 goes into 6020 6 times with a remainder of 464.
The number 6 becomes the next digit in our result. 
Result so far: 339.6
Subtracting 5556 from 6020 leaves us with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

On to step 8:
926 can be fit into 4640 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 339.65
The remainder is 10 after subtracting 4630 from 4640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
926 goes into 100 0 times with a remainder of 100.
Put 0 as the next digit of the answer. 
Result so far: 339.65
Deduct 0 from 100 and we're left 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.

Advancing to step 10:
926 can be fit into 1000 1 times, resulting in a remainder of 74.
Write down 1 as next digit of the result. 
Result so far: 339.6501
If we subtract 926 from 1000, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 11:
If we divide 740 by 926, we get 0 and a remainder of 740.
Write down 0 as next digit of the result. 
Result so far: 339.6501
Subtracting 0 from 740 leaves us with 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7400, and continue the process.

Advancing to step 12:
7400 divided by 926 is 7 with a remainder of 918.
Use 7 as the next digit of our solution. 
Result so far: 339.650107
The remainder is 918 after subtracting 6482 from 7400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9180, and continue the process.

On to step 13:
926 can be fit into 9180 9 times, resulting in a remainder of 846.
Use 9 as the next digit of our solution. 
Result so far: 339.6501079
If we take 8334 away from 9180, we end up with 846.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8460, and continue the process.

Step 14:
If we divide 8460 by 926, we get 9 and a remainder of 126.
Use 9 as the next digit of our solution. 
Result so far: 339.65010799
If we subtract 8334 from 8460, we get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

After the division, we end up with 339.65010799 and a remainder of 1.26e-07.