We're dividing 507608 by 77 
Let's see how many times 77 fits into 507608.

On to step 1:
77 can be fit into 5 0 times, resulting in a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 77

Advancing to step 2:
The number 77 fits into 50 0 times, leaving a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 77

Step 3:
507 divided by 77 is 6 with a remainder of 45.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
The remainder is 45 after subtracting 462 from 507.
Include the next digit (6) from the dividend after 45, then repeat: 456 / 77

On to step 4:
If we divide 456 by 77, we get 5 and a remainder of 71.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we subtract 385 from 456, we get 71.
Bring next digit (0) of the dividend behind the 71 and repeat the process: 710 / 77

On to step 5:
The number 77 fits into 710 9 times, leaving a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 659.0
The remainder is 17 after subtracting 693 from 710.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 77

Going ahead to step 6:
If we divide 178 by 77, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 6592.0
Deduct 154 from 178 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
When dividing 240 by 77, we get 3 with a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 6592.3
If we take 231 away from 240, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
90 divided by 77 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 6592.31
Deduct 77 from 90 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 9:
130 divided by 77 is 1 with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 6592.311
Subtract 77 from 130 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

In conclusion, the division gives 6592.311 with a balance of 0.0053.