761643 ÷ 77 
We want to divide 761643 by 77.

Advancing to step 1:
When dividing 7 by 77, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 77

Advancing to step 2:
When dividing 76 by 77, we get 0 with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Include the next digit (1) from the dividend after 76, then repeat: 761 / 77

Let's proceed to step 3:
77 can be fit into 761 9 times, resulting in a remainder of 68.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 68 after subtracting 693 from 761.
Append the next digit (6) from the dividend to 68 and continue with: 686 / 77

Let's proceed to step 4:
If we divide 686 by 77, we get 8 and a remainder of 70.
The number 8 becomes the next digit in our result. 
Result so far: 98.0
Subtract 616 from 686 to get 70.
Include the next digit (4) from the dividend after 70, then repeat: 704 / 77

Moving on to step 5:
77 goes into 704 9 times with a remainder of 11.
The next digit of our result is 9. 
Result so far: 989.0
Deduct 693 from 704 and we're left with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 77

On to step 6:
The number 77 fits into 113 1 times, leaving a remainder of 36.
Record the quotient 1 as the next digit in the result. 
Result so far: 9891.0
Deduct 77 from 113 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
77 can be fit into 360 4 times, resulting in a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 9891.4
If we take 308 away from 360, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
When dividing 520 by 77, we get 6 with a remainder of 58.
The next digit of our result is 6. 
Result so far: 9891.46
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 9:
If we divide 580 by 77, we get 7 and a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 9891.467
If we subtract 539 from 580, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 10:
If we divide 410 by 77, we get 5 and a remainder of 25.
The next digit of our result is 5. 
Result so far: 9891.4675
Subtract 385 from 410 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
The number 77 fits into 250 3 times, leaving a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 9891.46753
Deduct 231 from 250 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 12:
190 divided by 77 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 9891.467532
If we subtract 154 from 190, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 13:
If we divide 360 by 77, we get 4 and a remainder of 52.
Put 4 as the next digit of the answer. 
Result so far: 9891.4675324
The remainder is 52 after subtracting 308 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 14:
77 can be fit into 520 6 times, resulting in a remainder of 58.
Record the quotient 6 as the next digit in the result. 
Result so far: 9891.46753246
If we take 462 away from 520, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 9891.46753246 with a balance of 5.8e-08.