We look at the division of 213409 by 23 
We want to divide 213409 by 23.

Step 1:
If we divide 2 by 23, we get 0 and a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (1) from the dividend after 2, then repeat: 21 / 23

Let's proceed to step 2:
When dividing 21 by 23, we get 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 21 and we're left with 21.
Append the next digit (3) from the dividend to 21 and continue with: 213 / 23

Going ahead to step 3:
23 goes into 213 9 times with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 6 after subtracting 207 from 213.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 23

Let's proceed to step 4:
23 can be fit into 64 2 times, resulting in a remainder of 18.
The next digit of our result is 2. 
Result so far: 92.0
Subtracting 46 from 64 leaves us with 18.
Append the next digit (0) from the dividend to 18 and continue with: 180 / 23

Advancing to step 5:
23 goes into 180 7 times with a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 927.0
If we subtract 161 from 180, we get 19.
Include the next digit (9) from the dividend after 19, then repeat: 199 / 23

Let's proceed to step 6:
23 goes into 199 8 times with a remainder of 15.
Record the quotient 8 as the next digit in the result. 
Result so far: 9278.0
Deduct 184 from 199 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
150 divided by 23 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 9278.6
Subtracting 138 from 150 leaves us 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.

Going ahead to step 8:
The number 23 fits into 120 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 9278.65
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.

Advancing to step 9:
23 goes into 50 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 9278.652
Subtract 46 from 50 to get 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 10:
23 can be fit into 40 1 times, resulting in a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 9278.6521
The remainder is 17 after subtracting 23 from 40.
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 11:
23 can be fit into 170 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 9278.65217
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.

Step 12:
23 can be fit into 90 3 times, resulting in a remainder of 21.
Use 3 as the next digit of our solution. 
Result so far: 9278.652173
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.

Let's proceed to step 13:
210 divided by 23 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 9278.6521739
Deduct 207 from 210 and we're left 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.

On to step 14:
23 goes into 30 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 9278.65217391
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.

The final result is 9278.65217391 with a remainder of 7e-09.