We look at the division of 101291 by 63 
Our goal is to divide 101291 by 63.

Going ahead to step 1:
1 divided by 63 is 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 63

Going ahead to step 2:
10 divided by 63 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Append the next digit (1) from the dividend to 10 and continue with: 101 / 63

Moving on to step 3:
When dividing 101 by 63, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 1.0
If we take 63 away from 101, we end up with 38.
Fetch the next digit (2) from the dividend, attach it to 38 and continue: 382 / 63

Going ahead to step 4:
When dividing 382 by 63, we get 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtract 378 from 382 to get 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 63

On to step 5:
If we divide 49 by 63, we get 0 and a remainder of 49.
Put 0 as the next digit of the answer. 
Result so far: 160.0
Subtracting 0 from 49 leaves us with 49.
Append the next digit (1) from the dividend to 49 and continue with: 491 / 63

Step 6:
63 goes into 491 7 times with a remainder of 50.
Use 7 as the next digit of our solution. 
Result so far: 1607.0
Subtracting 441 from 491 leaves us 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.

On to step 7:
If we divide 500 by 63, we get 7 and a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 1607.7
Subtract 441 from 500 to 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.

On to step 8:
63 goes into 590 9 times with a remainder of 23.
Record the quotient 9 as the next digit in the result. 
Result so far: 1607.79
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.

Going ahead to step 9:
230 divided by 63 is 3 with a remainder of 41.
Record the quotient 3 as the next digit in the result. 
Result so far: 1607.793
If we subtract 189 from 230, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 10:
If we divide 410 by 63, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 1607.7936
If we take 378 away from 410, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 11:
The number 63 fits into 320 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1607.79365
Subtract 315 from 320 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
The number 63 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 1607.79365
If we subtract 0 from 50, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 13:
500 divided by 63 is 7 with a remainder of 59.
The number 7 becomes the next digit in our result. 
Result so far: 1607.7936507
Subtract 441 from 500 to 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.

Advancing to step 14:
When dividing 590 by 63, we get 9 with a remainder of 23.
The number 9 becomes the next digit in our result. 
Result so far: 1607.79365079
Deduct 567 from 590 and we're left 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.

After the division, we end up with 1607.79365079 and a remainder of 2.3e-08.