We're dividing 113707 by 27 
We want to figure out the number of times 113707 can be divided by 27.

Step 1:
When dividing 1 by 27, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 27

Going ahead to step 2:
The number 27 fits into 11 0 times, leaving a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 11 and we're left with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 27

Moving on to step 3:
The number 27 fits into 113 4 times, leaving a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 108 from 113 to get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 27

On to step 4:
When dividing 57 by 27, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 42.0
Deduct 54 from 57 and we're left with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 27

Advancing to step 5:
27 goes into 30 1 times with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 421.0
Deduct 27 from 30 and we're left with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 27

Advancing to step 6:
27 can be fit into 37 1 times, resulting in a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 4211.0
If we take 27 away from 37, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
27 goes into 100 3 times with a remainder of 19.
The next digit of our result is 3. 
Result so far: 4211.3
If we subtract 81 from 100, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 8:
27 goes into 190 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 4211.37
Subtracting 189 from 190 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
27 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 4211.37
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 27 is 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 4211.3703
The remainder is 19 after subtracting 81 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 11:
27 goes into 190 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 4211.37037
The remainder is 1 after subtracting 189 from 190.
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 12:
When dividing 10 by 27, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 4211.37037
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 13:
27 can be fit into 100 3 times, resulting in a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 4211.3703703
If we take 81 away from 100, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 14:
27 goes into 190 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 4211.37037037
If we take 189 away from 190, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 4211.37037037, and the remainder is 1e-09.