45594668 ÷ 963 
Our goal is to divide 45594668 by 963.

Advancing to step 1:
4 divided by 963 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (5) from the dividend to 4 and continue with: 45 / 963

On to step 2:
When dividing 45 by 963, we get 0 with a remainder of 45.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 45, we get 45.
Bring next digit (5) of the dividend behind the 45 and repeat the process: 455 / 963

Step 3:
963 can be fit into 455 0 times, resulting in a remainder of 455.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 455 leaves us with 455.
Append the next digit (9) from the dividend to 455 and continue with: 4559 / 963

Going ahead to step 4:
When dividing 4559 by 963, we get 4 with a remainder of 707.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 3852 from 4559 and we're left with 707.
Fetch the next digit (4) from the dividend, attach it to 707 and continue: 7074 / 963

Moving on to step 5:
If we divide 7074 by 963, we get 7 and a remainder of 333.
The number 7 becomes the next digit in our result. 
Result so far: 47.0
If we subtract 6741 from 7074, we get 333.
Bring next digit (6) of the dividend behind the 333 and repeat the process: 3336 / 963

Moving on to step 6:
963 can be fit into 3336 3 times, resulting in a remainder of 447.
The next digit of our result is 3. 
Result so far: 473.0
Subtract 2889 from 3336 to get 447.
Append the next digit (6) from the dividend to 447 and continue with: 4476 / 963

Step 7:
When dividing 4476 by 963, we get 4 with a remainder of 624.
Write down 4 as next digit of the result. 
Result so far: 4734.0
The remainder is 624 after subtracting 3852 from 4476.
Include the next digit (8) from the dividend after 624, then repeat: 6248 / 963

Let's proceed to step 8:
963 goes into 6248 6 times with a remainder of 470.
Write down 6 as next digit of the result. 
Result so far: 47346.0
If we take 5778 away from 6248, we end up with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

On to step 9:
963 goes into 4700 4 times with a remainder of 848.
Put 4 as the next digit of the answer. 
Result so far: 47346.4
The remainder is 848 after subtracting 3852 from 4700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8480, and continue the process.

Step 10:
If we divide 8480 by 963, we get 8 and a remainder of 776.
Record the quotient 8 as the next digit in the result. 
Result so far: 47346.48
Subtract 7704 from 8480 to get 776.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7760, and continue the process.

Let's proceed to step 11:
The number 963 fits into 7760 8 times, leaving a remainder of 56.
The next digit of our result is 8. 
Result so far: 47346.488
Subtract 7704 from 7760 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The quotient of the division is 47346.488, and the remainder is 0.0056.