Let's divide 75186 by 27
Our goal is to divide 75186 by 27.

On to step 1:
The number 27 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 27

Moving on to step 2:
If we divide 75 by 27, we get 2 and a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 54 from 75, we get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 27

Moving on to step 3:
If we divide 211 by 27, we get 7 and a remainder of 22.
Use 7 as the next digit of our solution. 
Result so far: 27.0
If we take 189 away from 211, we end up with 22.
Take the next digit (8) from the dividend and append it to 22, then repeat: 228 / 27

Let's proceed to step 4:
27 can be fit into 228 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 278.0
If we take 216 away from 228, we end up with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 27

On to step 5:
27 can be fit into 126 4 times, resulting in a remainder of 18.
The next digit of our result is 4. 
Result so far: 2784.0
Deduct 108 from 126 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 6:
27 can be fit into 180 6 times, resulting in a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 2784.6
Subtract 162 from 180 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
27 can be fit into 180 6 times, resulting in a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 2784.66
Deduct 162 from 180 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The quotient of the division is 2784.66, and the remainder is 0.018.