We look at the division of 421984 by 43 
We want to figure out the number of times 421984 can be divided by 43.

Step 1:
4 divided by 43 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 43

Let's proceed to step 2:
42 divided by 43 is 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Take the next digit (1) from the dividend and append it to 42, then repeat: 421 / 43

Going ahead to step 3:
43 can be fit into 421 9 times, resulting in a remainder of 34.
The next digit of our result is 9. 
Result so far: 9.0
Subtracting 387 from 421 leaves us with 34.
Include the next digit (9) from the dividend after 34, then repeat: 349 / 43

On to step 4:
The number 43 fits into 349 8 times, leaving a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 98.0
Subtracting 344 from 349 leaves us with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 43

On to step 5:
43 can be fit into 58 1 times, resulting in a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 981.0
Deduct 43 from 58 and we're left with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 43

Step 6:
When dividing 154 by 43, we get 3 with a remainder of 25.
Use 3 as the next digit of our solution. 
Result so far: 9813.0
If we subtract 129 from 154, we 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.

On to step 7:
43 goes into 250 5 times with a remainder of 35.
The next digit of our result is 5. 
Result so far: 9813.5
The remainder is 35 after subtracting 215 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
When dividing 350 by 43, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 9813.58
Subtract 344 from 350 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
43 goes into 60 1 times with a remainder of 17.
Put 1 as the next digit of the answer. 
Result so far: 9813.581
Subtracting 43 from 60 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
170 divided by 43 is 3 with a remainder of 41.
Record the quotient 3 as the next digit in the result. 
Result so far: 9813.5813
Subtracting 129 from 170 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 11:
410 divided by 43 is 9 with a remainder of 23.
Put 9 as the next digit of the answer. 
Result so far: 9813.58139
Subtracting 387 from 410 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 12:
43 can be fit into 230 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 9813.581395
Deduct 215 from 230 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 13:
When dividing 150 by 43, we get 3 with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 9813.5813953
Subtracting 129 from 150 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 14:
The number 43 fits into 210 4 times, leaving a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 9813.58139534
Deduct 172 from 210 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 9813.58139534, and the remainder is 3.8e-08.