375408 ÷ 44 
Our goal is to divide 375408 by 44.

Going ahead to step 1:
The number 44 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 44

Going ahead to step 2:
44 goes into 37 0 times with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Fetch the next digit (5) from the dividend, attach it to 37 and continue: 375 / 44

Advancing to step 3:
44 goes into 375 8 times with a remainder of 23.
The next digit of our result is 8. 
Result so far: 8.0
If we take 352 away from 375, we end up with 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 44

Moving on to step 4:
44 can be fit into 234 5 times, resulting in a remainder of 14.
Write down 5 as next digit of the result. 
Result so far: 85.0
If we take 220 away from 234, we end up with 14.
Include the next digit (0) from the dividend after 14, then repeat: 140 / 44

On to step 5:
44 can be fit into 140 3 times, resulting in a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 853.0
If we take 132 away from 140, we end up with 8.
Bring next digit (8) of the dividend behind the 8 and repeat the process: 88 / 44

Step 6:
44 can be fit into 88 2 times, resulting in a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 8532.0
Subtracting 88 from 88 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
The number 44 fits into 0 0 times, leaving a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 8532.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
The number 44 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8532.0
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 8532.0, and the remainder is 0.0.