457221 ÷ 29 
Our goal is to divide 457221 by 29.

Step 1:
When dividing 4 by 29, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 29

Let's proceed to step 2:
45 divided by 29 is 1 with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 16 after subtracting 29 from 45.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 29

Moving on to step 3:
29 can be fit into 167 5 times, resulting in a remainder of 22.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 145 from 167 leaves us with 22.
Take the next digit (2) from the dividend and append it to 22, then repeat: 222 / 29

On to step 4:
If we divide 222 by 29, we get 7 and a remainder of 19.
The next digit of our result is 7. 
Result so far: 157.0
Subtracting 203 from 222 leaves us with 19.
Fetch the next digit (2) from the dividend, attach it to 19 and continue: 192 / 29

Moving on to step 5:
When dividing 192 by 29, we get 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 1576.0
If we take 174 away from 192, we end up with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 29

Step 6:
The number 29 fits into 181 6 times, leaving a remainder of 7.
Write down 6 as next digit of the result. 
Result so far: 15766.0
The remainder is 7 after subtracting 174 from 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 7:
When dividing 70 by 29, we get 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 15766.2
If we take 58 away from 70, we end up 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.

Advancing to step 8:
29 goes into 120 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 15766.24
Subtracting 116 from 120 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
29 goes into 40 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 15766.241
If we subtract 29 from 40, we 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.

On to step 10:
29 can be fit into 110 3 times, resulting in a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 15766.2413
The remainder is 23 after subtracting 87 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 11:
29 can be fit into 230 7 times, resulting in a remainder of 27.
The next digit of our result is 7. 
Result so far: 15766.24137
Deduct 203 from 230 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 12:
29 goes into 270 9 times with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 15766.241379
If we take 261 away from 270, 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 13:
If we divide 90 by 29, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 15766.2413793
Deduct 87 from 90 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.

Going ahead to step 14:
If we divide 30 by 29, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 15766.24137931
Subtract 29 from 30 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 15766.24137931 with a balance of 1e-09.