Let's divide 1366 by 9
Our goal is to divide 1366 by 9.

Going ahead to step 1:
9 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 9

Step 2:
13 divided by 9 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 9 from 13, we get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 9

Going ahead to step 3:
9 goes into 46 5 times with a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 45 from 46 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 9

Moving on to step 4:
9 can be fit into 16 1 times, resulting in a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 151.0
If we take 9 away from 16, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 5:
9 can be fit into 70 7 times, resulting in a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 151.7
Subtracting 63 from 70 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 6:
9 goes into 70 7 times with a remainder of 7.
The next digit of our result is 7. 
Result so far: 151.77
Subtract 63 from 70 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 151.77, with a leftover of 0.007.