Let's divide 406642 by 29
We're looking to find how many times 29 goes into 406642.

On to step 1:
4 divided by 29 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 29

Step 2:
When dividing 40 by 29, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 11 after subtracting 29 from 40.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 29

Step 3:
29 can be fit into 116 4 times, resulting in a remainder of 0.
The next digit of our result is 4. 
Result so far: 14.0
Subtracting 116 from 116 leaves us with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 29

Going ahead to step 4:
29 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 140.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (4) from the dividend to 6 and continue with: 64 / 29

Let's proceed to step 5:
29 can be fit into 64 2 times, resulting in a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 1402.0
Subtract 58 from 64 to get 6.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 29

Let's proceed to step 6:
29 can be fit into 62 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 14022.0
Subtract 58 from 62 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.

Step 7:
The number 29 fits into 40 1 times, leaving a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 14022.1
Deduct 29 from 40 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
29 goes into 110 3 times with a remainder of 23.
The number 3 becomes the next digit in our result. 
Result so far: 14022.13
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.

Going ahead to step 9:
If we divide 230 by 29, we get 7 and a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 14022.137
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.

Step 10:
When dividing 270 by 29, we get 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 14022.1379
Subtract 261 from 270 to get 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 11:
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: 14022.13793
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.

Advancing to step 12:
29 goes into 30 1 times with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 14022.137931
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.

Let's proceed to step 13:
10 divided by 29 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 14022.137931
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.

On to step 14:
When dividing 100 by 29, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 14022.13793103
The remainder is 13 after subtracting 87 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 14022.13793103 with a remaining 1.3e-08.