We divide 101873 by 11
We want to divide 101873 by 11.

Let's proceed to step 1:
The number 11 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 11

Moving on to step 2:
10 divided by 11 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 11

On to step 3:
The number 11 fits into 101 9 times, leaving a remainder of 2.
The next digit of our result is 9. 
Result so far: 9.0
If we take 99 away from 101, we end up with 2.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 11

On to step 4:
28 divided by 11 is 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 92.0
The remainder is 6 after subtracting 22 from 28.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 11

Going ahead to step 5:
If we divide 67 by 11, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 926.0
The remainder is 1 after subtracting 66 from 67.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 11

Advancing to step 6:
13 divided by 11 is 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 9261.0
The remainder is 2 after subtracting 11 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
When dividing 20 by 11, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 9261.1
If we take 11 away from 20, 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.

Going ahead to step 8:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 9261.18
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 9261.181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 10:
11 goes into 90 8 times with a remainder of 2.
The next digit of our result is 8. 
Result so far: 9261.1818
Deduct 88 from 90 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 11:
The number 11 fits into 20 1 times, leaving a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 9261.18181
The remainder is 9 after subtracting 11 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
The number 11 fits into 90 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 9261.181818
If we take 88 away from 90, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 13:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 9261.1818181
Subtracting 11 from 20 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.

Moving on to step 14:
When dividing 90 by 11, we get 8 with a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 9261.18181818
Subtracting 88 from 90 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 9261.18181818, and the remainder is 2e-09.