Let's divide 378953 by 27
Our goal is to divide 378953 by 27.

Advancing to step 1:
If we divide 3 by 27, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 27

Going ahead to step 2:
If we divide 37 by 27, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we take 27 away from 37, we end up with 10.
Append the next digit (8) from the dividend to 10 and continue with: 108 / 27

Let's proceed to step 3:
The number 27 fits into 108 4 times, leaving a remainder of 0.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 108 from 108 leaves us with 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 27

Let's proceed to step 4:
The number 27 fits into 9 0 times, leaving a remainder of 9.
The next digit of our result is 0. 
Result so far: 140.0
If we subtract 0 from 9, we get 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 27

Moving on to step 5:
When dividing 95 by 27, we get 3 with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 1403.0
If we take 81 away from 95, we end up with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 27

Moving on to step 6:
The number 27 fits into 143 5 times, leaving a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 14035.0
Subtracting 135 from 143 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
27 goes into 80 2 times with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 14035.2
Subtract 54 from 80 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
The number 27 fits into 260 9 times, leaving a remainder of 17.
The next digit of our result is 9. 
Result so far: 14035.29
If we take 243 away from 260, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 9:
27 can be fit into 170 6 times, resulting in a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 14035.296
Subtracting 162 from 170 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
80 divided by 27 is 2 with a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 14035.2962
Subtracting 54 from 80 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 11:
27 can be fit into 260 9 times, resulting in a remainder of 17.
Use 9 as the next digit of our solution. 
Result so far: 14035.29629
The remainder is 17 after subtracting 243 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
If we divide 170 by 27, we get 6 and a remainder of 8.
The next digit of our result is 6. 
Result so far: 14035.296296
Subtracting 162 from 170 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
27 can be fit into 80 2 times, resulting in a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 14035.2962962
If we subtract 54 from 80, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 14:
27 can be fit into 260 9 times, resulting in a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 14035.29629629
The remainder is 17 after subtracting 243 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Our division results in 14035.29629629 with a remaining 1.7e-08.