625939 ÷ 77 
Let's see how many times 77 fits into 625939.

Let's proceed to step 1:
If we divide 6 by 77, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 77

Moving on to step 2:
77 goes into 62 0 times with a remainder of 62.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 62, we get 62.
Take the next digit (5) from the dividend and append it to 62, then repeat: 625 / 77

Going ahead to step 3:
If we divide 625 by 77, we get 8 and a remainder of 9.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
If we take 616 away from 625, we end up with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 77

Let's proceed to step 4:
The number 77 fits into 99 1 times, leaving a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 81.0
Subtracting 77 from 99 leaves us with 22.
Take the next digit (3) from the dividend and append it to 22, then repeat: 223 / 77

On to step 5:
223 divided by 77 is 2 with a remainder of 69.
Write down 2 as next digit of the result. 
Result so far: 812.0
If we subtract 154 from 223, we get 69.
Take the next digit (9) from the dividend and append it to 69, then repeat: 699 / 77

On to step 6:
If we divide 699 by 77, we get 9 and a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 8129.0
If we subtract 693 from 699, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
When dividing 60 by 77, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 8129.0
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 8:
The number 77 fits into 600 7 times, leaving a remainder of 61.
The number 7 becomes the next digit in our result. 
Result so far: 8129.07
Deduct 539 from 600 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 9:
When dividing 610 by 77, we get 7 with a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 8129.077
Subtracting 539 from 610 leaves us 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.

In conclusion, the division gives 8129.077 with a balance of 0.0071.