We're dividing 416872 by 77 
Let's see how many times 77 fits into 416872.

Advancing to step 1:
77 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 77

Advancing to step 2:
When dividing 41 by 77, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Grab the next digit (6) from the dividend, add it to 41, then carry on: 416 / 77

Moving on to step 3:
77 goes into 416 5 times with a remainder of 31.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 385 from 416 leaves us with 31.
Fetch the next digit (8) from the dividend, attach it to 31 and continue: 318 / 77

Let's proceed to step 4:
77 goes into 318 4 times with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 54.0
The remainder is 10 after subtracting 308 from 318.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 77

Going ahead to step 5:
When dividing 107 by 77, we get 1 with a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 541.0
Subtract 77 from 107 to get 30.
Grab the next digit (2) from the dividend, add it to 30, then carry on: 302 / 77

Step 6:
77 goes into 302 3 times with a remainder of 71.
The number 3 becomes the next digit in our result. 
Result so far: 5413.0
If we take 231 away from 302, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 7:
710 divided by 77 is 9 with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 5413.9
The remainder is 17 after subtracting 693 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 8:
77 goes into 170 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 5413.92
If we take 154 away from 170, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 9:
When dividing 160 by 77, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 5413.922
Deduct 154 from 160 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

After the division, we end up with 5413.922 and a remainder of 0.0006.