21301 ÷ 43 
We're looking to find how many times 43 goes into 21301.

On to step 1:
When dividing 2 by 43, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 43

Advancing to step 2:
43 goes into 21 0 times with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 21, we end up with 21.
Take the next digit (3) from the dividend and append it to 21, then repeat: 213 / 43

Advancing to step 3:
213 divided by 43 is 4 with a remainder of 41.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we subtract 172 from 213, we get 41.
Fetch the next digit (0) from the dividend, attach it to 41 and continue: 410 / 43

Step 4:
43 goes into 410 9 times with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Deduct 387 from 410 and we're left with 23.
Fetch the next digit (1) from the dividend, attach it to 23 and continue: 231 / 43

Let's proceed to step 5:
231 divided by 43 is 5 with a remainder of 16.
Write down 5 as next digit of the result. 
Result so far: 495.0
Subtracting 215 from 231 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 6:
If we divide 160 by 43, we get 3 and a remainder of 31.
The number 3 becomes the next digit in our result. 
Result so far: 495.3
Subtract 129 from 160 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
If we divide 310 by 43, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 495.37
Subtracting 301 from 310 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 8:
43 can be fit into 90 2 times, resulting in a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 495.372
The remainder is 4 after subtracting 86 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
If we divide 40 by 43, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 495.372
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
When dividing 400 by 43, we get 9 with a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 495.37209
If we take 387 away from 400, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 11:
The number 43 fits into 130 3 times, leaving a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 495.372093
Subtract 129 from 130 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 12:
If we divide 10 by 43, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 495.372093
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
When dividing 100 by 43, we get 2 with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 495.37209302
The remainder is 14 after subtracting 86 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 495.37209302 with a remaining 1.4e-08.