We look at the division of 409971 by 63 
We're looking to find how many times 63 goes into 409971.

On to step 1:
63 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 63

Moving on to step 2:
63 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 40 to get 40.
Bring next digit (9) of the dividend behind the 40 and repeat the process: 409 / 63

On to step 3:
The number 63 fits into 409 6 times, leaving a remainder of 31.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we subtract 378 from 409, we get 31.
Grab the next digit (9) from the dividend, add it to 31, then carry on: 319 / 63

On to step 4:
When dividing 319 by 63, we get 5 with a remainder of 4.
The next digit of our result is 5. 
Result so far: 65.0
Deduct 315 from 319 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 63

Advancing to step 5:
63 can be fit into 47 0 times, resulting in a remainder of 47.
The number 0 becomes the next digit in our result. 
Result so far: 650.0
If we subtract 0 from 47, we get 47.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 63

On to step 6:
63 goes into 471 7 times with a remainder of 30.
Put 7 as the next digit of the answer. 
Result so far: 6507.0
Subtracting 441 from 471 leaves us 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.

Step 7:
The number 63 fits into 300 4 times, leaving a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 6507.4
If we subtract 252 from 300, we get 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 8:
63 can be fit into 480 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 6507.47
If we take 441 away from 480, we end up 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.

Going ahead to step 9:
63 can be fit into 390 6 times, resulting in a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 6507.476
Deduct 378 from 390 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 10:
If we divide 120 by 63, we get 1 and a remainder of 57.
Use 1 as the next digit of our solution. 
Result so far: 6507.4761
If we subtract 63 from 120, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Going ahead to step 11:
The number 63 fits into 570 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 6507.47619
Subtract 567 from 570 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 12:
If we divide 30 by 63, we get 0 and a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 6507.47619
The remainder is 30 after subtracting 0 from 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 13:
300 divided by 63 is 4 with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 6507.4761904
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.

Advancing to step 14:
The number 63 fits into 480 7 times, leaving a remainder of 39.
Record the quotient 7 as the next digit in the result. 
Result so far: 6507.47619047
Deduct 441 from 480 and we're left 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.

The final outcome is 6507.47619047, with a leftover of 3.9e-08.