We look at the division of 421305 by 43 
Our goal is to divide 421305 by 43.

Step 1:
When dividing 4 by 43, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 43

Moving on to step 2:
When dividing 42 by 43, we get 0 with a remainder of 42.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 42 leaves us with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 43

Going ahead to step 3:
421 divided by 43 is 9 with a remainder of 34.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 387 from 421 and we're left with 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 43

Step 4:
The number 43 fits into 343 7 times, leaving a remainder of 42.
Write down 7 as next digit of the result. 
Result so far: 97.0
Deduct 301 from 343 and we're left with 42.
Take the next digit (0) from the dividend and append it to 42, then repeat: 420 / 43

Step 5:
43 can be fit into 420 9 times, resulting in a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 979.0
If we subtract 387 from 420, we get 33.
Fetch the next digit (5) from the dividend, attach it to 33 and continue: 335 / 43

Let's proceed to step 6:
43 can be fit into 335 7 times, resulting in a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 9797.0
The remainder is 34 after subtracting 301 from 335.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 7:
43 can be fit into 340 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 9797.7
The remainder is 39 after subtracting 301 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
390 divided by 43 is 9 with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 9797.79
The remainder is 3 after subtracting 387 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
If we divide 30 by 43, we get 0 and a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 9797.79
If we subtract 0 from 30, 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.

Advancing to step 10:
When dividing 300 by 43, we get 6 with a remainder of 42.
Write down 6 as next digit of the result. 
Result so far: 9797.7906
The remainder is 42 after subtracting 258 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 11:
420 divided by 43 is 9 with a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 9797.79069
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.

Moving on to step 12:
When dividing 330 by 43, we get 7 with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 9797.790697
Deduct 301 from 330 and we're left 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.

Going ahead to step 13:
43 can be fit into 290 6 times, resulting in a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 9797.7906976
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.

Let's proceed to step 14:
43 can be fit into 320 7 times, resulting in a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 9797.79069767
Deduct 301 from 320 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 9797.79069767 with a balance of 1.9e-08.