We're dividing 42559 by 77 
We're looking to find how many times 77 goes into 42559.

Advancing to step 1:
If we divide 4 by 77, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 77

Going ahead to step 2:
The number 77 fits into 42 0 times, leaving a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 77

Advancing to step 3:
77 can be fit into 425 5 times, resulting in a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtract 385 from 425 to get 40.
Include the next digit (5) from the dividend after 40, then repeat: 405 / 77

Step 4:
405 divided by 77 is 5 with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 55.0
The remainder is 20 after subtracting 385 from 405.
Include the next digit (9) from the dividend after 20, then repeat: 209 / 77

Advancing to step 5:
The number 77 fits into 209 2 times, leaving a remainder of 55.
Use 2 as the next digit of our solution. 
Result so far: 552.0
Subtracting 154 from 209 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 6:
77 goes into 550 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 552.7
Subtracting 539 from 550 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
If we divide 110 by 77, we get 1 and a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 552.71
If we take 77 away from 110, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 8:
The number 77 fits into 330 4 times, leaving a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 552.714
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 9:
77 can be fit into 220 2 times, resulting in a remainder of 66.
Put 2 as the next digit of the answer. 
Result so far: 552.7142
If we take 154 away from 220, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 10:
When dividing 660 by 77, we get 8 with a remainder of 44.
Use 8 as the next digit of our solution. 
Result so far: 552.71428
Subtract 616 from 660 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 11:
77 goes into 440 5 times with a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 552.714285
Subtract 385 from 440 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 12:
The number 77 fits into 550 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 552.7142857
If we subtract 539 from 550, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 13:
110 divided by 77 is 1 with a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 552.71428571
If we subtract 77 from 110, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 552.71428571, with a leftover of 3.3e-08.