We're dividing 738397 by 44 
We're looking to find how many times 44 goes into 738397.

Let's proceed to step 1:
When dividing 7 by 44, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (3) from the dividend, add it to 7, then carry on: 73 / 44

Step 2:
73 divided by 44 is 1 with a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 44 from 73, we get 29.
Append the next digit (8) from the dividend to 29 and continue with: 298 / 44

Advancing to step 3:
When dividing 298 by 44, we get 6 with a remainder of 34.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 264 from 298, we get 34.
Include the next digit (3) from the dividend after 34, then repeat: 343 / 44

On to step 4:
The number 44 fits into 343 7 times, leaving a remainder of 35.
The next digit of our result is 7. 
Result so far: 167.0
Subtract 308 from 343 to get 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 44

Let's proceed to step 5:
359 divided by 44 is 8 with a remainder of 7.
The next digit of our result is 8. 
Result so far: 1678.0
If we take 352 away from 359, we end up with 7.
Bring next digit (7) of the dividend behind the 7 and repeat the process: 77 / 44

Step 6:
When dividing 77 by 44, we get 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 16781.0
Subtract 44 from 77 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 7:
44 can be fit into 330 7 times, resulting in a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 16781.7
Subtract 308 from 330 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
44 can be fit into 220 5 times, resulting in a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 16781.75
Subtract 220 from 220 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.

Advancing to step 9:
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: 16781.75
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.

Moving on to step 10:
When dividing 0 by 44, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 16781.75
The remainder is 0 after subtracting 0 from 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 final outcome is 16781.75, with a leftover of 0.0.