669307 ÷ 43 
We want to divide 669307 by 43.

Moving on to step 1:
If we divide 6 by 43, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 43

Going ahead to step 2:
66 divided by 43 is 1 with a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 43 from 66 to get 23.
Grab the next digit (9) from the dividend, add it to 23, then carry on: 239 / 43

Advancing to step 3:
43 goes into 239 5 times with a remainder of 24.
Put 5 as the next digit of the answer. 
Result so far: 15.0
Subtract 215 from 239 to get 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 43

Let's proceed to step 4:
If we divide 243 by 43, we get 5 and a remainder of 28.
The next digit of our result is 5. 
Result so far: 155.0
Subtract 215 from 243 to get 28.
Fetch the next digit (0) from the dividend, attach it to 28 and continue: 280 / 43

Moving on to step 5:
43 can be fit into 280 6 times, resulting in a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 1556.0
Subtracting 258 from 280 leaves us with 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 43

Moving on to step 6:
43 can be fit into 227 5 times, resulting in a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 15565.0
If we subtract 215 from 227, 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.

Moving on to step 7:
120 divided by 43 is 2 with a remainder of 34.
The next digit of our result is 2. 
Result so far: 15565.2
Subtracting 86 from 120 leaves us 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.

Step 8:
If we divide 340 by 43, we get 7 and a remainder of 39.
The next digit of our result is 7. 
Result so far: 15565.27
If we take 301 away from 340, we end up 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.

Step 9:
390 divided by 43 is 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 15565.279
If we take 387 away from 390, we end up 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.

On to step 10:
If we divide 30 by 43, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 15565.279
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.

Step 11:
43 goes into 300 6 times with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 15565.27906
Subtract 258 from 300 to 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.

Going ahead 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: 15565.279069
The remainder is 33 after subtracting 387 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 13:
When dividing 330 by 43, we get 7 with a remainder of 29.
Record the quotient 7 as the next digit in the result. 
Result so far: 15565.2790697
Subtracting 301 from 330 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 14:
The number 43 fits into 290 6 times, leaving a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 15565.27906976
Subtract 258 from 290 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.

In conclusion, the division gives 15565.27906976 with a balance of 3.2e-08.