We're dividing 945993 by 27 
We want to divide 945993 by 27.

On to step 1:
When dividing 9 by 27, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Fetch the next digit (4) from the dividend, attach it to 9 and continue: 94 / 27

Moving on to step 2:
The number 27 fits into 94 3 times, leaving a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 13 after subtracting 81 from 94.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 27

Let's proceed to step 3:
When dividing 135 by 27, we get 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 35.0
The remainder is 0 after subtracting 135 from 135.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 27

Step 4:
27 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 350.0
If we take 0 away from 9, we end up with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 27

Going ahead to step 5:
If we divide 99 by 27, we get 3 and a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 3503.0
Subtract 81 from 99 to get 18.
Include the next digit (3) from the dividend after 18, then repeat: 183 / 27

Advancing to step 6:
If we divide 183 by 27, we get 6 and a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 35036.0
Subtracting 162 from 183 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
When dividing 210 by 27, we get 7 with a remainder of 21.
Put 7 as the next digit of the answer. 
Result so far: 35036.7
Subtracting 189 from 210 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 8:
If we divide 210 by 27, we get 7 and a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 35036.77
Subtracting 189 from 210 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 35036.77, and the remainder is 0.021.