We're dividing 460945 by 29 
We're looking to find how many times 29 goes into 460945.

Going ahead to step 1:
29 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 29

Going ahead to step 2:
29 can be fit into 46 1 times, resulting in a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 29 from 46 leaves us with 17.
Grab the next digit (0) from the dividend, add it to 17, then carry on: 170 / 29

Step 3:
When dividing 170 by 29, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 15.0
If we subtract 145 from 170, we get 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 29

Let's proceed to step 4:
The number 29 fits into 259 8 times, leaving a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 158.0
Subtract 232 from 259 to get 27.
Grab the next digit (4) from the dividend, add it to 27, then carry on: 274 / 29

Let's proceed to step 5:
The number 29 fits into 274 9 times, leaving a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 1589.0
The remainder is 13 after subtracting 261 from 274.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 29

Advancing to step 6:
The number 29 fits into 135 4 times, leaving a remainder of 19.
Write down 4 as next digit of the result. 
Result so far: 15894.0
Subtracting 116 from 135 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.

Let's proceed to step 7:
When dividing 190 by 29, we get 6 with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 15894.6
If we take 174 away from 190, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
If we divide 160 by 29, we get 5 and a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 15894.65
Subtracting 145 from 160 leaves us 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.

Moving on to step 9:
If we divide 150 by 29, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 15894.655
Deduct 145 from 150 and we're left 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.

In conclusion, the division gives 15894.655 with a balance of 0.0005.