We're dividing 413834 by 51 
Our goal is to divide 413834 by 51.

Going ahead to step 1:
If we divide 4 by 51, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 51

Moving on to step 2:
41 divided by 51 is 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 41, we get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 51

Going ahead to step 3:
When dividing 413 by 51, we get 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 8.0
If we take 408 away from 413, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 51

Step 4:
58 divided by 51 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
Subtracting 51 from 58 leaves us with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 51

Moving on to step 5:
51 can be fit into 73 1 times, resulting in a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 811.0
If we subtract 51 from 73, we get 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 51

Step 6:
The number 51 fits into 224 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 8114.0
Deduct 204 from 224 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 7:
The number 51 fits into 200 3 times, leaving a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 8114.3
If we subtract 153 from 200, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 8:
51 can be fit into 470 9 times, resulting in a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 8114.39
If we subtract 459 from 470, 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.

Going ahead to step 9:
51 goes into 110 2 times with a remainder of 8.
The next digit of our result is 2. 
Result so far: 8114.392
Subtracting 102 from 110 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 10:
If we divide 80 by 51, we get 1 and a remainder of 29.
Use 1 as the next digit of our solution. 
Result so far: 8114.3921
Subtracting 51 from 80 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
290 divided by 51 is 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 8114.39215
Subtracting 255 from 290 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 12:
When dividing 350 by 51, we get 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 8114.392156
Subtracting 306 from 350 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
51 goes into 440 8 times with a remainder of 32.
The next digit of our result is 8. 
Result so far: 8114.3921568
The remainder is 32 after subtracting 408 from 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 14:
The number 51 fits into 320 6 times, leaving a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 8114.39215686
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 8114.39215686, and the remainder is 1.4e-08.