We look at the division of 6364 by 23 
We're looking to find how many times 23 goes into 6364.

Advancing to step 1:
If we divide 6 by 23, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (3) from the dividend, attach it to 6 and continue: 63 / 23

Moving on to step 2:
23 can be fit into 63 2 times, resulting in a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 17 after subtracting 46 from 63.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 23

Let's proceed to step 3:
176 divided by 23 is 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 27.0
If we subtract 161 from 176, we get 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 23

Step 4:
23 goes into 154 6 times with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 276.0
Subtracting 138 from 154 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.

Going ahead to step 5:
If we divide 160 by 23, we get 6 and a remainder of 22.
The number 6 becomes the next digit in our result. 
Result so far: 276.6
If we take 138 away from 160, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 6:
If we divide 220 by 23, we get 9 and a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 276.69
The remainder is 13 after subtracting 207 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
23 can be fit into 130 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 276.695
If we subtract 115 from 130, 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.

Step 8:
23 goes into 150 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 276.6956
Deduct 138 from 150 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.

Advancing to step 9:
120 divided by 23 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 276.69565
If we take 115 away from 120, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 10:
The number 23 fits into 50 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 276.695652
If we take 46 away from 50, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
The number 23 fits into 40 1 times, leaving a remainder of 17.
The next digit of our result is 1. 
Result so far: 276.6956521
Subtract 23 from 40 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
If we divide 170 by 23, we get 7 and a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 276.69565217
If we subtract 161 from 170, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

In conclusion, the division gives 276.69565217 with a balance of 9e-09.