We're dividing 44433385 by 766 
Our goal is to divide 44433385 by 766.

Advancing to step 1:
When dividing 4 by 766, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 766

Let's proceed to step 2:
44 divided by 766 is 0 with a remainder of 44.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 44, we get 44.
Include the next digit (4) from the dividend after 44, then repeat: 444 / 766

Step 3:
When dividing 444 by 766, we get 0 with a remainder of 444.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 444, we get 444.
Append the next digit (3) from the dividend to 444 and continue with: 4443 / 766

Advancing to step 4:
766 can be fit into 4443 5 times, resulting in a remainder of 613.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 3830 from 4443 leaves us with 613.
Bring next digit (3) of the dividend behind the 613 and repeat the process: 6133 / 766

On to step 5:
6133 divided by 766 is 8 with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 58.0
Subtract 6128 from 6133 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 766

Moving on to step 6:
When dividing 53 by 766, we get 0 with a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 580.0
If we subtract 0 from 53, we get 53.
Grab the next digit (8) from the dividend, add it to 53, then carry on: 538 / 766

Step 7:
When dividing 538 by 766, we get 0 with a remainder of 538.
Write down 0 as next digit of the result. 
Result so far: 5800.0
Deduct 0 from 538 and we're left with 538.
Grab the next digit (5) from the dividend, add it to 538, then carry on: 5385 / 766

Step 8:
766 can be fit into 5385 7 times, resulting in a remainder of 23.
The next digit of our result is 7. 
Result so far: 58007.0
Subtracting 5362 from 5385 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 9:
The number 766 fits into 230 0 times, leaving a remainder of 230.
The number 0 becomes the next digit in our result. 
Result so far: 58007.0
If we subtract 0 from 230, we get 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

Going ahead to step 10:
When dividing 2300 by 766, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 58007.03
If we subtract 2298 from 2300, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
The number 766 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 58007.03
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 12:
When dividing 200 by 766, we get 0 with a remainder of 200.
Use 0 as the next digit of our solution. 
Result so far: 58007.03
Deduct 0 from 200 and we're left with 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2000, and continue the process.

The quotient of the division is 58007.03, and the remainder is 0.002.