We divide 712641 by 77
We want to figure out the number of times 712641 can be divided by 77.

Going ahead to step 1:
If we divide 7 by 77, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 77

Advancing to step 2:
77 can be fit into 71 0 times, resulting in a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Append the next digit (2) from the dividend to 71 and continue with: 712 / 77

Let's proceed to step 3:
77 goes into 712 9 times with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtracting 693 from 712 leaves us with 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 77

Going ahead to step 4:
When dividing 196 by 77, we get 2 with a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 92.0
If we take 154 away from 196, we end up with 42.
Grab the next digit (4) from the dividend, add it to 42, then carry on: 424 / 77

Let's proceed to step 5:
424 divided by 77 is 5 with a remainder of 39.
The number 5 becomes the next digit in our result. 
Result so far: 925.0
Subtracting 385 from 424 leaves us with 39.
Grab the next digit (1) from the dividend, add it to 39, then carry on: 391 / 77

Step 6:
391 divided by 77 is 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 9255.0
If we subtract 385 from 391, 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.

Moving on to step 7:
The number 77 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 9255.0
If we take 0 away from 60, we end up with 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:
600 divided by 77 is 7 with a remainder of 61.
Record the quotient 7 as the next digit in the result. 
Result so far: 9255.07
Subtracting 539 from 600 leaves us 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.

Advancing to step 9:
If we divide 610 by 77, we get 7 and a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 9255.077
If we take 539 away from 610, we end up 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.

The final result is 9255.077 with a remainder of 0.0071.