We look at the division of 15578041 by 449 
We want to divide 15578041 by 449.

Let's proceed to step 1:
The number 449 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 449

Moving on to step 2:
15 divided by 449 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Grab the next digit (5) from the dividend, add it to 15, then carry on: 155 / 449

Going ahead to step 3:
If we divide 155 by 449, we get 0 and a remainder of 155.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 155 and we're left with 155.
Take the next digit (7) from the dividend and append it to 155, then repeat: 1557 / 449

Let's proceed to step 4:
1557 divided by 449 is 3 with a remainder of 210.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 1347 from 1557 leaves us with 210.
Include the next digit (8) from the dividend after 210, then repeat: 2108 / 449

Moving on to step 5:
449 goes into 2108 4 times with a remainder of 312.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
The remainder is 312 after subtracting 1796 from 2108.
Take the next digit (0) from the dividend and append it to 312, then repeat: 3120 / 449

Going ahead to step 6:
When dividing 3120 by 449, we get 6 with a remainder of 426.
Write down 6 as next digit of the result. 
Result so far: 346.0
If we subtract 2694 from 3120, we get 426.
Take the next digit (4) from the dividend and append it to 426, then repeat: 4264 / 449

Step 7:
When dividing 4264 by 449, we get 9 with a remainder of 223.
Record the quotient 9 as the next digit in the result. 
Result so far: 3469.0
Deduct 4041 from 4264 and we're left with 223.
Fetch the next digit (1) from the dividend, attach it to 223 and continue: 2231 / 449

Advancing to step 8:
If we divide 2231 by 449, we get 4 and a remainder of 435.
The number 4 becomes the next digit in our result. 
Result so far: 34694.0
The remainder is 435 after subtracting 1796 from 2231.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

Let's proceed to step 9:
449 goes into 4350 9 times with a remainder of 309.
Record the quotient 9 as the next digit in the result. 
Result so far: 34694.9
Deduct 4041 from 4350 and we're left with 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3090, and continue the process.

Moving on to step 10:
If we divide 3090 by 449, we get 6 and a remainder of 396.
Use 6 as the next digit of our solution. 
Result so far: 34694.96
If we take 2694 away from 3090, we end up with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Moving on to step 11:
449 can be fit into 3960 8 times, resulting in a remainder of 368.
Put 8 as the next digit of the answer. 
Result so far: 34694.968
Subtracting 3592 from 3960 leaves us with 368.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3680, and continue the process.

On to step 12:
If we divide 3680 by 449, we get 8 and a remainder of 88.
Use 8 as the next digit of our solution. 
Result so far: 34694.9688
If we subtract 3592 from 3680, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

The final outcome is 34694.9688, with a leftover of 0.00088.