631418 ÷ 576 
Our goal is to divide 631418 by 576.

Step 1:
6 divided by 576 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 576

Let's proceed to step 2:
When dividing 63 by 576, we get 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 63 after subtracting 0 from 63.
Bring next digit (1) of the dividend behind the 63 and repeat the process: 631 / 576

Let's proceed to step 3:
If we divide 631 by 576, we get 1 and a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 576 from 631, we get 55.
Include the next digit (4) from the dividend after 55, then repeat: 554 / 576

On to step 4:
576 can be fit into 554 0 times, resulting in a remainder of 554.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 554, we end up with 554.
Take the next digit (1) from the dividend and append it to 554, then repeat: 5541 / 576

Going ahead to step 5:
576 can be fit into 5541 9 times, resulting in a remainder of 357.
Write down 9 as next digit of the result. 
Result so far: 109.0
Deduct 5184 from 5541 and we're left with 357.
Fetch the next digit (8) from the dividend, attach it to 357 and continue: 3578 / 576

Going ahead to step 6:
3578 divided by 576 is 6 with a remainder of 122.
Use 6 as the next digit of our solution. 
Result so far: 1096.0
Subtract 3456 from 3578 to get 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Let's proceed to step 7:
The number 576 fits into 1220 2 times, leaving a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 1096.2
Subtract 1152 from 1220 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 8:
576 goes into 680 1 times with a remainder of 104.
Record the quotient 1 as the next digit in the result. 
Result so far: 1096.21
If we subtract 576 from 680, we get 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

Going ahead to step 9:
1040 divided by 576 is 1 with a remainder of 464.
The number 1 becomes the next digit in our result. 
Result so far: 1096.211
If we take 576 away from 1040, we end up with 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

The quotient of the division is 1096.211, and the remainder is 0.0464.