Let's divide 145675 by 27
We want to divide 145675 by 27.

Step 1:
27 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 27

On to step 2:
When dividing 14 by 27, we get 0 with a remainder of 14.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 27

Moving on to step 3:
27 can be fit into 145 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 135 away from 145, we end up with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 27

Let's proceed to step 4:
27 can be fit into 106 3 times, resulting in a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 53.0
Deduct 81 from 106 and we're left with 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 27

Advancing to step 5:
If we divide 257 by 27, we get 9 and a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 539.0
If we subtract 243 from 257, we get 14.
Include the next digit (5) from the dividend after 14, then repeat: 145 / 27

Step 6:
27 can be fit into 145 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5395.0
Deduct 135 from 145 and we're left 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 7:
If we divide 100 by 27, we get 3 and a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 5395.3
Subtracting 81 from 100 leaves us 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.

On to step 8:
If we divide 190 by 27, we get 7 and a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 5395.37
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.

Going ahead to step 9:
10 divided by 27 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5395.37
Deduct 0 from 10 and we're left 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.

On to step 10:
27 goes into 100 3 times with a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 5395.3703
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.

Advancing to step 11:
27 goes into 190 7 times with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 5395.37037
Subtract 189 from 190 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.

Moving on to step 12:
When dividing 10 by 27, we get 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5395.37037
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.

Step 13:
The number 27 fits into 100 3 times, leaving a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 5395.3703703
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.

Moving on to step 14:
190 divided by 27 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 5395.37037037
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.

The final result is 5395.37037037 with a remainder of 1e-09.