We divide 9642 by 21
We're looking to find how many times 21 goes into 9642.

Moving on to step 1:
9 divided by 21 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 21

Step 2:
The number 21 fits into 96 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 84 from 96 and we're left with 12.
Bring next digit (4) of the dividend behind the 12 and repeat the process: 124 / 21

Step 3:
When dividing 124 by 21, we get 5 with a remainder of 19.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtracting 105 from 124 leaves us with 19.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 21

Advancing to step 4:
21 can be fit into 192 9 times, resulting in a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 459.0
If we take 189 away from 192, 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.

Advancing to step 5:
21 goes into 30 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 459.1
The remainder is 9 after subtracting 21 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 6:
90 divided by 21 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 459.14
Deduct 84 from 90 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
60 divided by 21 is 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 459.142
Deduct 42 from 60 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 8:
21 can be fit into 180 8 times, resulting in a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 459.1428
Deduct 168 from 180 and we're left with 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 9:
When dividing 120 by 21, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 459.14285
If we subtract 105 from 120, we get 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 10:
If we divide 150 by 21, we get 7 and a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 459.142857
Subtract 147 from 150 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
The number 21 fits into 30 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 459.1428571
Deduct 21 from 30 and we're left 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.

Going ahead to step 12:
21 can be fit into 90 4 times, resulting in a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 459.14285714
Subtract 84 from 90 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.

In conclusion, the division gives 459.14285714 with a balance of 6e-09.