We're dividing 218423 by 29 
We want to figure out the number of times 218423 can be divided by 29.

Advancing to step 1:
29 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 29

Step 2:
When dividing 21 by 29, we get 0 with a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Take the next digit (8) from the dividend and append it to 21, then repeat: 218 / 29

Going ahead to step 3:
The number 29 fits into 218 7 times, leaving a remainder of 15.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 203 from 218 leaves us with 15.
Grab the next digit (4) from the dividend, add it to 15, then carry on: 154 / 29

On to step 4:
154 divided by 29 is 5 with a remainder of 9.
The next digit of our result is 5. 
Result so far: 75.0
The remainder is 9 after subtracting 145 from 154.
Bring next digit (2) of the dividend behind the 9 and repeat the process: 92 / 29

Advancing to step 5:
If we divide 92 by 29, we get 3 and a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 753.0
The remainder is 5 after subtracting 87 from 92.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 29

Step 6:
The number 29 fits into 53 1 times, leaving a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 7531.0
Subtracting 29 from 53 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
240 divided by 29 is 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 7531.8
Subtract 232 from 240 to get 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 8:
The number 29 fits into 80 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 7531.82
Subtract 58 from 80 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.

Advancing to step 9:
The number 29 fits into 220 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 7531.827
If we take 203 away from 220, we end up with 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 10:
29 can be fit into 170 5 times, resulting in a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 7531.8275
Deduct 145 from 170 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 11:
29 goes into 250 8 times with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 7531.82758
Subtracting 232 from 250 leaves us with 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 12:
29 goes into 180 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 7531.827586
If we take 174 away from 180, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
29 can be fit into 60 2 times, resulting in a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 7531.8275862
Deduct 58 from 60 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.

Moving on to step 14:
29 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 7531.8275862
Subtracting 0 from 20 leaves us 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.

After the division, we end up with 7531.8275862 and a remainder of 2e-08.