We're dividing 1412 by 77 
We want to figure out the number of times 1412 can be divided by 77.

On to step 1:
The number 77 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 77

On to step 2:
If we divide 14 by 77, we get 0 and a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Include the next digit (1) from the dividend after 14, then repeat: 141 / 77

Step 3:
141 divided by 77 is 1 with a remainder of 64.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 77 from 141 and we're left with 64.
Take the next digit (2) from the dividend and append it to 64, then repeat: 642 / 77

Moving on to step 4:
77 goes into 642 8 times with a remainder of 26.
Put 8 as the next digit of the answer. 
Result so far: 18.0
Subtracting 616 from 642 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.

Step 5:
260 divided by 77 is 3 with a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 18.3
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 6:
77 can be fit into 290 3 times, resulting in a remainder of 59.
The number 3 becomes the next digit in our result. 
Result so far: 18.33
If we take 231 away from 290, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Our division results in 18.33 with a remaining 0.059.