We look at the division of 641322 by 23 
We want to figure out the number of times 641322 can be divided by 23.

Advancing to step 1:
23 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 23

Moving on to step 2:
23 can be fit into 64 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 46 from 64 to get 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 23

Let's proceed to step 3:
181 divided by 23 is 7 with a remainder of 20.
Put 7 as the next digit of the answer. 
Result so far: 27.0
Subtract 161 from 181 to get 20.
Take the next digit (3) from the dividend and append it to 20, then repeat: 203 / 23

Step 4:
203 divided by 23 is 8 with a remainder of 19.
The number 8 becomes the next digit in our result. 
Result so far: 278.0
The remainder is 19 after subtracting 184 from 203.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 23

On to step 5:
When dividing 192 by 23, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 2788.0
If we take 184 away from 192, we end up with 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 23

Moving on to step 6:
The number 23 fits into 82 3 times, leaving a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 27883.0
If we subtract 69 from 82, we get 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 7:
If we divide 130 by 23, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 27883.5
The remainder is 15 after subtracting 115 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
23 can be fit into 150 6 times, resulting in a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 27883.56
If we subtract 138 from 150, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
23 can be fit into 120 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 27883.565
Subtract 115 from 120 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 10:
The number 23 fits into 50 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 27883.5652
The remainder is 4 after subtracting 46 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 11:
When dividing 40 by 23, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 27883.56521
Subtracting 23 from 40 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.

Moving on to step 12:
23 goes into 170 7 times with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 27883.565217
If we take 161 away from 170, we end up 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.

Let's proceed to step 13:
23 goes into 90 3 times with a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 27883.5652173
The remainder is 21 after subtracting 69 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 14:
If we divide 210 by 23, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 27883.56521739
If we take 207 away from 210, 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.

The quotient of the division is 27883.56521739, and the remainder is 3e-09.