We're dividing 412566 by 77 
We want to figure out the number of times 412566 can be divided by 77.

On to step 1:
The number 77 fits into 4 0 times, leaving a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 77

Moving on to step 2:
When dividing 41 by 77, we get 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (2) from the dividend, add it to 41, then carry on: 412 / 77

Let's proceed to step 3:
77 goes into 412 5 times with a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 385 from 412 leaves us with 27.
Include the next digit (5) from the dividend after 27, then repeat: 275 / 77

Going ahead to step 4:
The number 77 fits into 275 3 times, leaving a remainder of 44.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
The remainder is 44 after subtracting 231 from 275.
Fetch the next digit (6) from the dividend, attach it to 44 and continue: 446 / 77

Let's proceed to step 5:
77 goes into 446 5 times with a remainder of 61.
The number 5 becomes the next digit in our result. 
Result so far: 535.0
If we take 385 away from 446, we end up with 61.
Append the next digit (6) from the dividend to 61 and continue with: 616 / 77

Going ahead to step 6:
When dividing 616 by 77, we get 8 with a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 5358.0
Deduct 616 from 616 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 7:
0 divided by 77 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 5358.0
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 8:
If we divide 0 by 77, we get 0 and a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 5358.0
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 5358.0 with a remaining 0.0.