Let's divide 19638 by 63
We're looking to find how many times 63 goes into 19638.

On to step 1:
1 divided by 63 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (9) from the dividend, add it to 1, then carry on: 19 / 63

Going ahead to step 2:
If we divide 19 by 63, we get 0 and a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Append the next digit (6) from the dividend to 19 and continue with: 196 / 63

Advancing to step 3:
If we divide 196 by 63, we get 3 and a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Deduct 189 from 196 and we're left with 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 63

On to step 4:
When dividing 73 by 63, we get 1 with a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 31.0
Subtract 63 from 73 to get 10.
Bring next digit (8) of the dividend behind the 10 and repeat the process: 108 / 63

Moving on to step 5:
108 divided by 63 is 1 with a remainder of 45.
Use 1 as the next digit of our solution. 
Result so far: 311.0
If we subtract 63 from 108, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Advancing to step 6:
450 divided by 63 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 311.7
If we take 441 away from 450, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
If we divide 90 by 63, we get 1 and a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 311.71
If we take 63 away from 90, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 8:
When dividing 270 by 63, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 311.714
Deduct 252 from 270 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 9:
63 can be fit into 180 2 times, resulting in a remainder of 54.
The number 2 becomes the next digit in our result. 
Result so far: 311.7142
If we subtract 126 from 180, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 10:
63 goes into 540 8 times with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 311.71428
If we take 504 away from 540, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 11:
63 can be fit into 360 5 times, resulting in a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 311.714285
If we subtract 315 from 360, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 12:
450 divided by 63 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 311.7142857
Subtracting 441 from 450 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
The number 63 fits into 90 1 times, leaving a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 311.71428571
If we take 63 away from 90, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 311.71428571 with a remainder of 2.7e-08.