Let's divide 27121 by 8
We're looking to find how many times 8 goes into 27121.

Step 1:
8 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 8

Step 2:
When dividing 27 by 8, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 3.0
Deduct 24 from 27 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 8

Moving on to step 3:
8 can be fit into 31 3 times, resulting in a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
If we take 24 away from 31, we end up with 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 8

Moving on to step 4:
When dividing 72 by 8, we get 9 with a remainder of 0.
Record the quotient 9 as the next digit in the result. 
Result so far: 339.0
Deduct 72 from 72 and we're left with 0.
Fetch the next digit (1) from the dividend, attach it to 0 and continue: 1 / 8

Let's proceed to step 5:
1 divided by 8 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 3390.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
8 goes into 10 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 3390.1
Subtracting 8 from 10 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.

Let's proceed to step 7:
When dividing 20 by 8, we get 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 3390.12
Subtract 16 from 20 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
When dividing 40 by 8, we get 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 3390.125
If we take 40 away from 40, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 3390.125
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 3390.125
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 3390.125, with a leftover of 0.0.