Let's divide 217413 by 23
We want to figure out the number of times 217413 can be divided by 23.

On to step 1:
23 goes into 2 0 times with a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 23

Moving on to step 2:
23 can be fit into 21 0 times, resulting in a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 21 after subtracting 0 from 21.
Take the next digit (7) from the dividend and append it to 21, then repeat: 217 / 23

Moving on to step 3:
When dividing 217 by 23, we get 9 with a remainder of 10.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtract 207 from 217 to get 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 23

Step 4:
If we divide 104 by 23, we get 4 and a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 94.0
The remainder is 12 after subtracting 92 from 104.
Grab the next digit (1) from the dividend, add it to 12, then carry on: 121 / 23

Step 5:
121 divided by 23 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 945.0
Deduct 115 from 121 and we're left with 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 23

Step 6:
23 can be fit into 63 2 times, resulting in a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 9452.0
If we subtract 46 from 63, we 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.

On to step 7:
The number 23 fits into 170 7 times, leaving a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 9452.7
Deduct 161 from 170 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.

Step 8:
The number 23 fits into 90 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 9452.73
Deduct 69 from 90 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
If we divide 210 by 23, we get 9 and a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 9452.739
Subtract 207 from 210 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.

On to step 10:
When dividing 30 by 23, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 9452.7391
If we subtract 23 from 30, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
23 can be fit into 70 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 9452.73913
Deduct 69 from 70 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
23 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 9452.73913
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 13:
23 can be fit into 100 4 times, resulting in a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 9452.7391304
Deduct 92 from 100 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 14:
23 goes into 80 3 times with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 9452.73913043
Subtract 69 from 80 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.

After the division, we end up with 9452.73913043 and a remainder of 1.1e-08.