413815 ÷ 91 
Our goal is to divide 413815 by 91.

Moving on to step 1:
The number 91 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 91

On to step 2:
If we divide 41 by 91, we get 0 and a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Include the next digit (3) from the dividend after 41, then repeat: 413 / 91

Let's proceed to step 3:
413 divided by 91 is 4 with a remainder of 49.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 364 from 413 leaves us with 49.
Take the next digit (8) from the dividend and append it to 49, then repeat: 498 / 91

On to step 4:
91 can be fit into 498 5 times, resulting in a remainder of 43.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtracting 455 from 498 leaves us with 43.
Fetch the next digit (1) from the dividend, attach it to 43 and continue: 431 / 91

Going ahead to step 5:
When dividing 431 by 91, we get 4 with a remainder of 67.
Put 4 as the next digit of the answer. 
Result so far: 454.0
Subtracting 364 from 431 leaves us with 67.
Take the next digit (5) from the dividend and append it to 67, then repeat: 675 / 91

Moving on to step 6:
675 divided by 91 is 7 with a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 4547.0
Subtract 637 from 675 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 7:
If we divide 380 by 91, we get 4 and a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 4547.4
Subtracting 364 from 380 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 8:
160 divided by 91 is 1 with a remainder of 69.
Use 1 as the next digit of our solution. 
Result so far: 4547.41
Subtract 91 from 160 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 9:
690 divided by 91 is 7 with a remainder of 53.
Write down 7 as next digit of the result. 
Result so far: 4547.417
If we subtract 637 from 690, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Let's proceed to step 10:
91 goes into 530 5 times with a remainder of 75.
The next digit of our result is 5. 
Result so far: 4547.4175
If we subtract 455 from 530, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

On to step 11:
91 can be fit into 750 8 times, resulting in a remainder of 22.
The next digit of our result is 8. 
Result so far: 4547.41758
Deduct 728 from 750 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
When dividing 220 by 91, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 4547.417582
Subtract 182 from 220 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 13:
The number 91 fits into 380 4 times, leaving a remainder of 16.
The next digit of our result is 4. 
Result so far: 4547.4175824
Deduct 364 from 380 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
160 divided by 91 is 1 with a remainder of 69.
The next digit of our result is 1. 
Result so far: 4547.41758241
Subtracting 91 from 160 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

In conclusion, the division gives 4547.41758241 with a balance of 6.9e-08.