We look at the division of 321744 by 63 
We're looking to find how many times 63 goes into 321744.

On to step 1:
When dividing 3 by 63, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (2) from the dividend to 3 and continue with: 32 / 63

On to step 2:
63 goes into 32 0 times with a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 63

Moving on to step 3:
63 can be fit into 321 5 times, resulting in a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 315 from 321 to get 6.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 63

Let's proceed to step 4:
67 divided by 63 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 51.0
Subtracting 63 from 67 leaves us with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 63

On to step 5:
The number 63 fits into 44 0 times, leaving a remainder of 44.
Write down 0 as next digit of the result. 
Result so far: 510.0
If we subtract 0 from 44, we get 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 63

On to step 6:
The number 63 fits into 444 7 times, leaving a remainder of 3.
Record the quotient 7 as the next digit in the result. 
Result so far: 5107.0
If we take 441 away from 444, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
When dividing 30 by 63, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 5107.0
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
63 goes into 300 4 times with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 5107.04
If we take 252 away from 300, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
63 goes into 480 7 times with a remainder of 39.
The next digit of our result is 7. 
Result so far: 5107.047
Subtracting 441 from 480 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
390 divided by 63 is 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 5107.0476
If we subtract 378 from 390, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
When dividing 120 by 63, we get 1 with a remainder of 57.
Use 1 as the next digit of our solution. 
Result so far: 5107.04761
Subtracting 63 from 120 leaves us with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Step 12:
63 goes into 570 9 times with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 5107.047619
The remainder is 3 after subtracting 567 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
The number 63 fits into 30 0 times, leaving a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 5107.047619
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 14:
300 divided by 63 is 4 with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 5107.04761904
Subtracting 252 from 300 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The quotient of the division is 5107.04761904, and the remainder is 4.8e-08.