We look at the division of 385421 by 63 
Let's see how many times 63 fits into 385421.

Step 1:
63 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 63

On to step 2:
When dividing 38 by 63, we get 0 with a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Bring next digit (5) of the dividend behind the 38 and repeat the process: 385 / 63

Going ahead to step 3:
When dividing 385 by 63, we get 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 378 away from 385, we end up with 7.
Grab the next digit (4) from the dividend, add it to 7, then carry on: 74 / 63

Going ahead to step 4:
If we divide 74 by 63, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 61.0
Subtract 63 from 74 to get 11.
Append the next digit (2) from the dividend to 11 and continue with: 112 / 63

Let's proceed to step 5:
The number 63 fits into 112 1 times, leaving a remainder of 49.
The next digit of our result is 1. 
Result so far: 611.0
Subtracting 63 from 112 leaves us with 49.
Grab the next digit (1) from the dividend, add it to 49, then carry on: 491 / 63

Step 6:
63 can be fit into 491 7 times, resulting in a remainder of 50.
The next digit of our result is 7. 
Result so far: 6117.0
If we take 441 away from 491, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
63 can be fit into 500 7 times, resulting in a remainder of 59.
Put 7 as the next digit of the answer. 
Result so far: 6117.7
Subtracting 441 from 500 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 8:
590 divided by 63 is 9 with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 6117.79
If we take 567 away from 590, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 9:
230 divided by 63 is 3 with a remainder of 41.
The next digit of our result is 3. 
Result so far: 6117.793
Subtracting 189 from 230 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 10:
63 can be fit into 410 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 6117.7936
The remainder is 32 after subtracting 378 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
The number 63 fits into 320 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 6117.79365
Subtracting 315 from 320 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
63 can be fit into 50 0 times, resulting in a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 6117.79365
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
63 goes into 500 7 times with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 6117.7936507
If we subtract 441 from 500, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 14:
The number 63 fits into 590 9 times, leaving a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 6117.79365079
Subtracting 567 from 590 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

The final result is 6117.79365079 with a remainder of 2.3e-08.