344750 ÷ 44 
Our goal is to divide 344750 by 44.

Moving on to step 1:
44 goes into 3 0 times with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 44

Let's proceed to step 2:
When dividing 34 by 44, we get 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 44

Moving on to step 3:
The number 44 fits into 344 7 times, leaving a remainder of 36.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Deduct 308 from 344 and we're left with 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 44

Moving on to step 4:
367 divided by 44 is 8 with a remainder of 15.
The next digit of our result is 8. 
Result so far: 78.0
If we subtract 352 from 367, we get 15.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 44

Advancing to step 5:
The number 44 fits into 155 3 times, leaving a remainder of 23.
Write down 3 as next digit of the result. 
Result so far: 783.0
If we subtract 132 from 155, we get 23.
Fetch the next digit (0) from the dividend, attach it to 23 and continue: 230 / 44

Step 6:
230 divided by 44 is 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7835.0
Subtracting 220 from 230 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
44 can be fit into 100 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 7835.2
If we subtract 88 from 100, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
If we divide 120 by 44, we get 2 and a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 7835.22
If we take 88 away from 120, 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.

The final result is 7835.22 with a remainder of 0.032.