We're dividing 4489784 by 743 
We want to divide 4489784 by 743.

Step 1:
When dividing 4 by 743, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 743

Let's proceed to step 2:
743 goes into 44 0 times with a remainder of 44.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Take the next digit (8) from the dividend and append it to 44, then repeat: 448 / 743

Advancing to step 3:
When dividing 448 by 743, we get 0 with a remainder of 448.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 448 after subtracting 0 from 448.
Include the next digit (9) from the dividend after 448, then repeat: 4489 / 743

Advancing to step 4:
743 goes into 4489 6 times with a remainder of 31.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 4458 from 4489 to get 31.
Take the next digit (7) from the dividend and append it to 31, then repeat: 317 / 743

Going ahead to step 5:
The number 743 fits into 317 0 times, leaving a remainder of 317.
Put 0 as the next digit of the answer. 
Result so far: 60.0
The remainder is 317 after subtracting 0 from 317.
Bring next digit (8) of the dividend behind the 317 and repeat the process: 3178 / 743

Step 6:
743 goes into 3178 4 times with a remainder of 206.
Use 4 as the next digit of our solution. 
Result so far: 604.0
Subtract 2972 from 3178 to get 206.
Fetch the next digit (4) from the dividend, attach it to 206 and continue: 2064 / 743

Let's proceed to step 7:
If we divide 2064 by 743, we get 2 and a remainder of 578.
Record the quotient 2 as the next digit in the result. 
Result so far: 6042.0
The remainder is 578 after subtracting 1486 from 2064.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Advancing to step 8:
When dividing 5780 by 743, we get 7 with a remainder of 579.
Write down 7 as next digit of the result. 
Result so far: 6042.7
If we take 5201 away from 5780, we end up with 579.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5790, and continue the process.

Moving on to step 9:
5790 divided by 743 is 7 with a remainder of 589.
The number 7 becomes the next digit in our result. 
Result so far: 6042.77
The remainder is 589 after subtracting 5201 from 5790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5890, and continue the process.

After the division, we end up with 6042.77 and a remainder of 0.589.