Let's divide 105113 by 27
We want to figure out the number of times 105113 can be divided by 27.

Moving on to step 1:
1 divided by 27 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 27

Let's proceed to step 2:
10 divided by 27 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 27

Going ahead to step 3:
When dividing 105 by 27, we get 3 with a remainder of 24.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 81 from 105, we get 24.
Include the next digit (1) from the dividend after 24, then repeat: 241 / 27

Going ahead to step 4:
If we divide 241 by 27, we get 8 and a remainder of 25.
The next digit of our result is 8. 
Result so far: 38.0
The remainder is 25 after subtracting 216 from 241.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 27

Let's proceed to step 5:
27 can be fit into 251 9 times, resulting in a remainder of 8.
The next digit of our result is 9. 
Result so far: 389.0
If we subtract 243 from 251, we get 8.
Include the next digit (3) from the dividend after 8, then repeat: 83 / 27

Going ahead to step 6:
27 can be fit into 83 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 3893.0
Deduct 81 from 83 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 7:
When dividing 20 by 27, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 3893.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
27 goes into 200 7 times with a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 3893.07
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
27 can be fit into 110 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 3893.074
Subtracting 108 from 110 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.

Going ahead to step 10:
The number 27 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 3893.074
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
27 can be fit into 200 7 times, resulting in a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 3893.07407
If we subtract 189 from 200, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 12:
27 goes into 110 4 times with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 3893.074074
Subtracting 108 from 110 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.

Moving on to step 13:
The number 27 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 3893.074074
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 14:
27 can be fit into 200 7 times, resulting in a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 3893.07407407
Subtracting 189 from 200 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 3893.07407407 and a remainder of 1.1e-08.