Let's divide 630513 by 23
We're looking to find how many times 23 goes into 630513.

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
Deduct 0 from 6 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 23

Moving on to step 2:
The number 23 fits into 63 2 times, leaving a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 2.0
If we take 46 away from 63, we end up with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 23

Let's proceed to step 3:
23 goes into 170 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 27.0
Subtracting 161 from 170 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 23

Step 4:
If we divide 95 by 23, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 274.0
Subtract 92 from 95 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 23

On to step 5:
23 can be fit into 31 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 2741.0
Subtract 23 from 31 to get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 23

Advancing to step 6:
83 divided by 23 is 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 27413.0
Subtracting 69 from 83 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 7:
If we divide 140 by 23, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 27413.6
Deduct 138 from 140 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 23 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 27413.6
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 23 fits into 200 8 times, leaving a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 27413.608
If we subtract 184 from 200, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
When dividing 160 by 23, we get 6 with a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 27413.6086
Deduct 138 from 160 and we're left 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.

Going ahead to step 11:
23 goes into 220 9 times with a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 27413.60869
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.

Step 12:
When dividing 130 by 23, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 27413.608695
Subtract 115 from 130 to 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.

On to step 13:
When dividing 150 by 23, we get 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 27413.6086956
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 14:
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: 27413.60869565
Subtracting 115 from 120 leaves us 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.

In conclusion, the division gives 27413.60869565 with a balance of 5e-09.