We're dividing 413261 by 51 
Let's see how many times 51 fits into 413261.

Let's proceed to step 1:
51 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 51

Moving on to step 2:
When dividing 41 by 51, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 51

On to step 3:
51 goes into 413 8 times with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we subtract 408 from 413, we get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 51

On to step 4:
51 can be fit into 52 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 81.0
Deduct 51 from 52 and we're left with 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 51

Let's proceed to step 5:
51 can be fit into 16 0 times, resulting in a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 810.0
Deduct 0 from 16 and we're left with 16.
Fetch the next digit (1) from the dividend, attach it to 16 and continue: 161 / 51

Advancing to step 6:
The number 51 fits into 161 3 times, leaving a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 8103.0
If we take 153 away from 161, we end up 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 7:
The number 51 fits into 80 1 times, leaving a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 8103.1
If we take 51 away from 80, we end up 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.

Let's proceed to step 8:
The number 51 fits into 290 5 times, leaving a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 8103.15
Subtract 255 from 290 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

On to step 9:
350 divided by 51 is 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 8103.156
If we take 306 away from 350, we end up 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 10:
If we divide 440 by 51, we get 8 and a remainder of 32.
Write down 8 as next digit of the result. 
Result so far: 8103.1568
If we take 408 away from 440, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
If we divide 320 by 51, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 8103.15686
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.

Going ahead to step 12:
The number 51 fits into 140 2 times, leaving a remainder of 38.
The next digit of our result is 2. 
Result so far: 8103.156862
The remainder is 38 after subtracting 102 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 13:
If we divide 380 by 51, we get 7 and a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 8103.1568627
The remainder is 23 after subtracting 357 from 380.
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 14:
If we divide 230 by 51, we get 4 and a remainder of 26.
The next digit of our result is 4. 
Result so far: 8103.15686274
Subtracting 204 from 230 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 8103.15686274 with a balance of 2.6e-08.