Let's divide 8029341 by 414
Our goal is to divide 8029341 by 414.

On to step 1:
8 divided by 414 is 0 with a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 414

Advancing to step 2:
80 divided by 414 is 0 with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 80, we end up with 80.
Append the next digit (2) from the dividend to 80 and continue with: 802 / 414

Step 3:
802 divided by 414 is 1 with a remainder of 388.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 414 from 802 to get 388.
Take the next digit (9) from the dividend and append it to 388, then repeat: 3889 / 414

Moving on to step 4:
414 can be fit into 3889 9 times, resulting in a remainder of 163.
Put 9 as the next digit of the answer. 
Result so far: 19.0
Subtracting 3726 from 3889 leaves us with 163.
Append the next digit (3) from the dividend to 163 and continue with: 1633 / 414

Step 5:
414 goes into 1633 3 times with a remainder of 391.
Write down 3 as next digit of the result. 
Result so far: 193.0
Deduct 1242 from 1633 and we're left with 391.
Grab the next digit (4) from the dividend, add it to 391, then carry on: 3914 / 414

Going ahead to step 6:
The number 414 fits into 3914 9 times, leaving a remainder of 188.
The number 9 becomes the next digit in our result. 
Result so far: 1939.0
The remainder is 188 after subtracting 3726 from 3914.
Include the next digit (1) from the dividend after 188, then repeat: 1881 / 414

Moving on to step 7:
If we divide 1881 by 414, we get 4 and a remainder of 225.
The number 4 becomes the next digit in our result. 
Result so far: 19394.0
If we subtract 1656 from 1881, we get 225.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Advancing to step 8:
The number 414 fits into 2250 5 times, leaving a remainder of 180.
Write down 5 as next digit of the result. 
Result so far: 19394.5
If we take 2070 away from 2250, we end up with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Going ahead to step 9:
If we divide 1800 by 414, we get 4 and a remainder of 144.
The number 4 becomes the next digit in our result. 
Result so far: 19394.54
Subtract 1656 from 1800 to get 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1440, and continue the process.

Going ahead to step 10:
When dividing 1440 by 414, we get 3 with a remainder of 198.
Use 3 as the next digit of our solution. 
Result so far: 19394.543
Subtract 1242 from 1440 to get 198.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1980, and continue the process.

Moving on to step 11:
1980 divided by 414 is 4 with a remainder of 324.
Record the quotient 4 as the next digit in the result. 
Result so far: 19394.5434
Subtracting 1656 from 1980 leaves us with 324.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3240, and continue the process.

Step 12:
The number 414 fits into 3240 7 times, leaving a remainder of 342.
Record the quotient 7 as the next digit in the result. 
Result so far: 19394.54347
Subtracting 2898 from 3240 leaves us with 342.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

On to step 13:
When dividing 3420 by 414, we get 8 with a remainder of 108.
Use 8 as the next digit of our solution. 
Result so far: 19394.543478
If we take 3312 away from 3420, we end up with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Moving on to step 14:
The number 414 fits into 1080 2 times, leaving a remainder of 252.
The number 2 becomes the next digit in our result. 
Result so far: 19394.5434782
The remainder is 252 after subtracting 828 from 1080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2520, and continue the process.

Let's proceed to step 15:
414 goes into 2520 6 times with a remainder of 36.
Write down 6 as next digit of the result. 
Result so far: 19394.54347826
Deduct 2484 from 2520 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 19394.54347826 and a remainder of 3.6e-08.