We divide 625673 by 77
We want to divide 625673 by 77.

Step 1:
77 can be fit into 6 0 times, resulting in 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.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 77

Step 2:
When dividing 62 by 77, we get 0 with a remainder of 62.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 62 leaves us with 62.
Append the next digit (5) from the dividend to 62 and continue with: 625 / 77

Advancing to step 3:
When dividing 625 by 77, we get 8 with a remainder of 9.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 616 away from 625, we end up with 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 77

Let's proceed to step 4:
96 divided by 77 is 1 with a remainder of 19.
The next digit of our result is 1. 
Result so far: 81.0
Deduct 77 from 96 and we're left with 19.
Grab the next digit (7) from the dividend, add it to 19, then carry on: 197 / 77

Moving on to step 5:
77 can be fit into 197 2 times, resulting in a remainder of 43.
Put 2 as the next digit of the answer. 
Result so far: 812.0
Subtract 154 from 197 to get 43.
Grab the next digit (3) from the dividend, add it to 43, then carry on: 433 / 77

Let's proceed to step 6:
When dividing 433 by 77, we get 5 with a remainder of 48.
Write down 5 as next digit of the result. 
Result so far: 8125.0
The remainder is 48 after subtracting 385 from 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 7:
480 divided by 77 is 6 with a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 8125.6
Subtract 462 from 480 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
77 goes into 180 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 8125.62
The remainder is 26 after subtracting 154 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 9:
77 goes into 260 3 times with a remainder of 29.
The next digit of our result is 3. 
Result so far: 8125.623
Subtracting 231 from 260 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 10:
The number 77 fits into 290 3 times, leaving a remainder of 59.
Write down 3 as next digit of the result. 
Result so far: 8125.6233
Subtracting 231 from 290 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

The quotient of the division is 8125.6233, and the remainder is 0.00059.