We divide 681414 by 29
We want to figure out the number of times 681414 can be divided by 29.

On to step 1:
If we divide 6 by 29, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 29

Let's proceed to step 2:
29 goes into 68 2 times with a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 58 from 68 to get 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 29

Step 3:
The number 29 fits into 101 3 times, leaving a remainder of 14.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Subtract 87 from 101 to get 14.
Append the next digit (4) from the dividend to 14 and continue with: 144 / 29

On to step 4:
If we divide 144 by 29, we get 4 and a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 234.0
Subtracting 116 from 144 leaves us with 28.
Take the next digit (1) from the dividend and append it to 28, then repeat: 281 / 29

Going ahead to step 5:
If we divide 281 by 29, we get 9 and a remainder of 20.
The next digit of our result is 9. 
Result so far: 2349.0
If we subtract 261 from 281, we get 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 29

Advancing to step 6:
204 divided by 29 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 23497.0
Subtracting 203 from 204 leaves us 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.

Going ahead to step 7:
29 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 23497.0
Deduct 0 from 10 and we're left with 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 8:
If we divide 100 by 29, we get 3 and a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 23497.03
Deduct 87 from 100 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
130 divided by 29 is 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 23497.034
The remainder is 14 after subtracting 116 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
29 can be fit into 140 4 times, resulting in a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 23497.0344
Subtract 116 from 140 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 23497.0344 and a remainder of 0.00024.