306319 ÷ 43 
Our goal is to divide 306319 by 43.

Moving on to step 1:
If we divide 3 by 43, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 43

Moving on to step 2:
30 divided by 43 is 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 43

Moving on to step 3:
When dividing 306 by 43, we get 7 with a remainder of 5.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 301 from 306 leaves us with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 43

Going ahead to step 4:
When dividing 53 by 43, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
If we take 43 away from 53, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 43

Advancing to step 5:
101 divided by 43 is 2 with a remainder of 15.
Record the quotient 2 as the next digit in the result. 
Result so far: 712.0
The remainder is 15 after subtracting 86 from 101.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 43

Advancing to step 6:
159 divided by 43 is 3 with a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 7123.0
If we subtract 129 from 159, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
If we divide 300 by 43, we get 6 and a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 7123.6
If we take 258 away from 300, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
The number 43 fits into 420 9 times, leaving a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 7123.69
Deduct 387 from 420 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 9:
43 can be fit into 330 7 times, resulting in a remainder of 29.
Put 7 as the next digit of the answer. 
Result so far: 7123.697
Subtract 301 from 330 to get 29.
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 10:
290 divided by 43 is 6 with a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 7123.6976
Deduct 258 from 290 and we're left with 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 11:
When dividing 320 by 43, we get 7 with a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 7123.69767
The remainder is 19 after subtracting 301 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 12:
43 goes into 190 4 times with a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 7123.697674
Subtract 172 from 190 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 13:
When dividing 180 by 43, we get 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 7123.6976744
The remainder is 8 after subtracting 172 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 7123.6976744 with a remaining 8e-08.