93876 ÷ 11 
We want to figure out the number of times 93876 can be divided by 11.

Let's proceed to step 1:
The number 11 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 11

Advancing to step 2:
11 goes into 93 8 times with a remainder of 5.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Deduct 88 from 93 and we're left with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 11

Advancing to step 3:
11 goes into 58 5 times with a remainder of 3.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
Subtract 55 from 58 to get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 11

Going ahead to step 4:
11 goes into 37 3 times with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 853.0
Deduct 33 from 37 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 11

On to step 5:
The number 11 fits into 46 4 times, leaving a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 8534.0
Subtracting 44 from 46 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.

Advancing to step 6:
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: 8534.1
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.

Let's proceed to step 7:
If we divide 90 by 11, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 8534.18
The remainder is 2 after subtracting 88 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 8534.181
Subtract 11 from 20 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 9:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8534.1818
If we subtract 88 from 90, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 10:
11 can be fit into 20 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 8534.18181
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.

Step 11:
11 goes into 90 8 times with a remainder of 2.
Put 8 as the next digit of the answer. 
Result so far: 8534.181818
If we subtract 88 from 90, we get 2.
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 12:
If we divide 20 by 11, we get 1 and a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 8534.1818181
Deduct 11 from 20 and we're left 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.

Step 13:
11 can be fit into 90 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 8534.18181818
The remainder is 2 after subtracting 88 from 90.
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 8534.18181818, and the remainder is 2e-09.