We look at the division of 353404 by 44 
We're looking to find how many times 44 goes into 353404.

Step 1:
When dividing 3 by 44, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 44

On to step 2:
35 divided by 44 is 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 44

Going ahead to step 3:
If we divide 353 by 44, we get 8 and a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 352 from 353 to get 1.
Take the next digit (4) from the dividend and append it to 1, then repeat: 14 / 44

Moving on to step 4:
The number 44 fits into 14 0 times, leaving a remainder of 14.
The number 0 becomes the next digit in our result. 
Result so far: 80.0
Subtracting 0 from 14 leaves us with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 44

Advancing to step 5:
140 divided by 44 is 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 803.0
The remainder is 8 after subtracting 132 from 140.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 44

Let's proceed to step 6:
44 can be fit into 84 1 times, resulting in a remainder of 40.
The number 1 becomes the next digit in our result. 
Result so far: 8031.0
Deduct 44 from 84 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
When dividing 400 by 44, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 8031.9
Deduct 396 from 400 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 44, we get 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8031.9
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
400 divided by 44 is 9 with a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 8031.909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 10:
If we divide 40 by 44, we get 0 and a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8031.909
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
When dividing 400 by 44, we get 9 with a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 8031.90909
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 12:
The number 44 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 8031.90909
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
When dividing 400 by 44, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 8031.9090909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
When dividing 40 by 44, we get 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 8031.9090909
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final outcome is 8031.9090909, with a leftover of 4e-08.