We're dividing 669438 by 43 
We want to divide 669438 by 43.

Step 1:
The number 43 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 43

Moving on to step 2:
43 goes into 66 1 times with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 43 from 66 and we're left with 23.
Append the next digit (9) from the dividend to 23 and continue with: 239 / 43

Moving on to step 3:
43 goes into 239 5 times with a remainder of 24.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtract 215 from 239 to get 24.
Fetch the next digit (4) from the dividend, attach it to 24 and continue: 244 / 43

Step 4:
43 goes into 244 5 times with a remainder of 29.
Record the quotient 5 as the next digit in the result. 
Result so far: 155.0
Subtracting 215 from 244 leaves us with 29.
Bring next digit (3) of the dividend behind the 29 and repeat the process: 293 / 43

Let's proceed to step 5:
When dividing 293 by 43, we get 6 with a remainder of 35.
The next digit of our result is 6. 
Result so far: 1556.0
Subtract 258 from 293 to get 35.
Bring next digit (8) of the dividend behind the 35 and repeat the process: 358 / 43

Going ahead to step 6:
43 goes into 358 8 times with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 15568.0
The remainder is 14 after subtracting 344 from 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
When dividing 140 by 43, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 15568.3
The remainder is 11 after subtracting 129 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 8:
When dividing 110 by 43, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 15568.32
Deduct 86 from 110 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 9:
The number 43 fits into 240 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 15568.325
Subtract 215 from 240 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
43 can be fit into 250 5 times, resulting in a remainder of 35.
The next digit of our result is 5. 
Result so far: 15568.3255
If we take 215 away from 250, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

The final outcome is 15568.3255, with a leftover of 0.00035.