553647 ÷ 77 
We want to figure out the number of times 553647 can be divided by 77.

Advancing to step 1:
5 divided by 77 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 77

Advancing to step 2:
If we divide 55 by 77, we get 0 and a remainder of 55.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 77

Advancing to step 3:
77 can be fit into 553 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 7.0
The remainder is 14 after subtracting 539 from 553.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 77

Moving on to step 4:
When dividing 146 by 77, we get 1 with a remainder of 69.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
Deduct 77 from 146 and we're left with 69.
Append the next digit (4) from the dividend to 69 and continue with: 694 / 77

On to step 5:
When dividing 694 by 77, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 719.0
Subtracting 693 from 694 leaves us with 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 77

Moving on to step 6:
77 can be fit into 17 0 times, resulting in a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 7190.0
If we take 0 away from 17, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
77 goes into 170 2 times with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 7190.2
Subtract 154 from 170 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
77 can be fit into 160 2 times, resulting in a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 7190.22
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.

The final outcome is 7190.22, with a leftover of 0.006.