557908 divided by 77 
We're looking to find how many times 77 goes into 557908.

On to step 1:
77 can be fit into 5 0 times, resulting in a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 77

Advancing to step 2:
77 goes into 55 0 times with a remainder of 55.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 55, we get 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 77

Going ahead to step 3:
If we divide 557 by 77, we get 7 and a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 539 from 557 and we're left with 18.
Append the next digit (9) from the dividend to 18 and continue with: 189 / 77

Going ahead to step 4:
77 goes into 189 2 times with a remainder of 35.
Use 2 as the next digit of our solution. 
Result so far: 72.0
If we take 154 away from 189, we end up with 35.
Include the next digit (0) from the dividend after 35, then repeat: 350 / 77

On to step 5:
When dividing 350 by 77, we get 4 with a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 724.0
Subtracting 308 from 350 leaves us with 42.
Bring next digit (8) of the dividend behind the 42 and repeat the process: 428 / 77

Advancing to step 6:
When dividing 428 by 77, we get 5 with a remainder of 43.
Record the quotient 5 as the next digit in the result. 
Result so far: 7245.0
Deduct 385 from 428 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
77 goes into 430 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7245.5
Deduct 385 from 430 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 8:
If we divide 450 by 77, we get 5 and a remainder of 65.
The next digit of our result is 5. 
Result so far: 7245.55
Subtracting 385 from 450 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Our division results in 7245.55 with a remaining 0.065.