314514 ÷ 43 
Let's see how many times 43 fits into 314514.

Step 1:
43 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 43

Step 2:
31 divided by 43 is 0 with a remainder of 31.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 31 leaves us with 31.
Bring next digit (4) of the dividend behind the 31 and repeat the process: 314 / 43

Step 3:
If we divide 314 by 43, we get 7 and a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 301 from 314 and we're left with 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 43

Step 4:
43 goes into 135 3 times with a remainder of 6.
Record the quotient 3 as the next digit in the result. 
Result so far: 73.0
If we subtract 129 from 135, we get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 43

Step 5:
43 can be fit into 61 1 times, resulting in a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 731.0
If we take 43 away from 61, we end up with 18.
Fetch the next digit (4) from the dividend, attach it to 18 and continue: 184 / 43

Advancing to step 6:
If we divide 184 by 43, we get 4 and a remainder of 12.
The next digit of our result is 4. 
Result so far: 7314.0
If we subtract 172 from 184, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
If we divide 120 by 43, we get 2 and a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 7314.2
If we take 86 away from 120, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 8:
43 goes into 340 7 times with a remainder of 39.
Use 7 as the next digit of our solution. 
Result so far: 7314.27
Deduct 301 from 340 and we're left 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.

Let's proceed to step 9:
43 goes into 390 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 7314.279
Deduct 387 from 390 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
When dividing 30 by 43, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 7314.279
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
43 can be fit into 300 6 times, resulting in a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 7314.27906
If we subtract 258 from 300, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
When dividing 420 by 43, we get 9 with a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 7314.279069
Subtract 387 from 420 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 13:
43 goes into 330 7 times with a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 7314.2790697
The remainder is 29 after subtracting 301 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 14:
43 can be fit into 290 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 7314.27906976
If we subtract 258 from 290, we 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.

Our division results in 7314.27906976 with a remaining 3.2e-08.