397055 ÷ 744 
We want to figure out the number of times 397055 can be divided by 744.

Step 1:
If we divide 3 by 744, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 744

Let's proceed to step 2:
744 goes into 39 0 times with a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 39 after subtracting 0 from 39.
Append the next digit (7) from the dividend to 39 and continue with: 397 / 744

On to step 3:
The number 744 fits into 397 0 times, leaving a remainder of 397.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 397 leaves us with 397.
Bring next digit (0) of the dividend behind the 397 and repeat the process: 3970 / 744

Step 4:
If we divide 3970 by 744, we get 5 and a remainder of 250.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 3720 from 3970, we get 250.
Bring next digit (5) of the dividend behind the 250 and repeat the process: 2505 / 744

Let's proceed to step 5:
744 can be fit into 2505 3 times, resulting in a remainder of 273.
The number 3 becomes the next digit in our result. 
Result so far: 53.0
If we subtract 2232 from 2505, we get 273.
Bring next digit (5) of the dividend behind the 273 and repeat the process: 2735 / 744

Let's proceed to step 6:
744 can be fit into 2735 3 times, resulting in a remainder of 503.
Record the quotient 3 as the next digit in the result. 
Result so far: 533.0
The remainder is 503 after subtracting 2232 from 2735.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5030, and continue the process.

Let's proceed to step 7:
If we divide 5030 by 744, we get 6 and a remainder of 566.
The next digit of our result is 6. 
Result so far: 533.6
The remainder is 566 after subtracting 4464 from 5030.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5660, and continue the process.

Advancing to step 8:
5660 divided by 744 is 7 with a remainder of 452.
Put 7 as the next digit of the answer. 
Result so far: 533.67
If we subtract 5208 from 5660, we get 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

Moving on to step 9:
The number 744 fits into 4520 6 times, leaving a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 533.676
Deduct 4464 from 4520 and we're left with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
If we divide 560 by 744, we get 0 and a remainder of 560.
The number 0 becomes the next digit in our result. 
Result so far: 533.676
Deduct 0 from 560 and we're left with 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Moving on to step 11:
When dividing 5600 by 744, we get 7 with a remainder of 392.
The number 7 becomes the next digit in our result. 
Result so far: 533.67607
Subtracting 5208 from 5600 leaves us with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Moving on to step 12:
744 goes into 3920 5 times with a remainder of 200.
Use 5 as the next digit of our solution. 
Result so far: 533.676075
The remainder is 200 after subtracting 3720 from 3920.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

Advancing to step 13:
744 goes into 2000 2 times with a remainder of 512.
Use 2 as the next digit of our solution. 
Result so far: 533.6760752
The remainder is 512 after subtracting 1488 from 2000.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5120, and continue the process.

On to step 14:
744 goes into 5120 6 times with a remainder of 656.
Record the quotient 6 as the next digit in the result. 
Result so far: 533.67607526
The remainder is 656 after subtracting 4464 from 5120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

After the division, we end up with 533.67607526 and a remainder of 6.56e-07.