We look at the division of 613628 by 23 
We're looking to find how many times 23 goes into 613628.

Step 1:
If we divide 6 by 23, we get 0 and a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 23

On to step 2:
23 goes into 61 2 times with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 46 from 61, we get 15.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 23

Advancing to step 3:
If we divide 153 by 23, we get 6 and a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 26.0
If we subtract 138 from 153, we get 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 23

On to step 4:
23 can be fit into 156 6 times, resulting in a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 266.0
The remainder is 18 after subtracting 138 from 156.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 23

Moving on to step 5:
If we divide 182 by 23, we get 7 and a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 2667.0
Deduct 161 from 182 and we're left with 21.
Bring next digit (8) of the dividend behind the 21 and repeat the process: 218 / 23

Advancing to step 6:
23 can be fit into 218 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 26679.0
Subtract 207 from 218 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
The number 23 fits into 110 4 times, leaving a remainder of 18.
The next digit of our result is 4. 
Result so far: 26679.4
Subtract 92 from 110 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
23 can be fit into 180 7 times, resulting in a remainder of 19.
The next digit of our result is 7. 
Result so far: 26679.47
Subtracting 161 from 180 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 9:
The number 23 fits into 190 8 times, leaving a remainder of 6.
The next digit of our result is 8. 
Result so far: 26679.478
Subtract 184 from 190 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.

Moving on to step 10:
23 goes into 60 2 times with a remainder of 14.
Write down 2 as next digit of the result. 
Result so far: 26679.4782
Subtracting 46 from 60 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.

Moving on to step 11:
If we divide 140 by 23, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 26679.47826
Subtract 138 from 140 to get 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 12:
When dividing 20 by 23, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 26679.47826
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
The number 23 fits into 200 8 times, leaving a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 26679.4782608
The remainder is 16 after subtracting 184 from 200.
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 14:
23 goes into 160 6 times with a remainder of 22.
Put 6 as the next digit of the answer. 
Result so far: 26679.47826086
Subtract 138 from 160 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 26679.47826086 with a remainder of 2.2e-08.