3886 ÷ 63 
Our goal is to divide 3886 by 63.

Let's proceed to step 1:
When dividing 3 by 63, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 63

Step 2:
If we divide 38 by 63, we get 0 and a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 38, we get 38.
Fetch the next digit (8) from the dividend, attach it to 38 and continue: 388 / 63

Let's proceed to step 3:
If we divide 388 by 63, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 378 from 388 to get 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 63

Let's proceed to step 4:
63 goes into 106 1 times with a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
If we take 63 away from 106, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 5:
When dividing 430 by 63, we get 6 with a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 61.6
The remainder is 52 after subtracting 378 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 6:
If we divide 520 by 63, we get 8 and a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 61.68
Subtract 504 from 520 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
63 goes into 160 2 times with a remainder of 34.
Use 2 as the next digit of our solution. 
Result so far: 61.682
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
63 goes into 340 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 61.6825
Subtracting 315 from 340 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
63 can be fit into 250 3 times, resulting in a remainder of 61.
The number 3 becomes the next digit in our result. 
Result so far: 61.68253
Subtracting 189 from 250 leaves us with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 10:
63 goes into 610 9 times with a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 61.682539
If we take 567 away from 610, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 11:
If we divide 430 by 63, we get 6 and a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 61.6825396
Subtracting 378 from 430 leaves us with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
63 can be fit into 520 8 times, resulting in a remainder of 16.
The next digit of our result is 8. 
Result so far: 61.68253968
If we take 504 away from 520, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final outcome is 61.68253968, with a leftover of 1.6e-08.