787643 ÷ 91 
Our goal is to divide 787643 by 91.

Advancing to step 1:
The number 91 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 91

Going ahead to step 2:
91 can be fit into 78 0 times, resulting in a remainder of 78.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Include the next digit (7) from the dividend after 78, then repeat: 787 / 91

Moving on to step 3:
91 goes into 787 8 times with a remainder of 59.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtract 728 from 787 to get 59.
Grab the next digit (6) from the dividend, add it to 59, then carry on: 596 / 91

Step 4:
596 divided by 91 is 6 with a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 86.0
If we take 546 away from 596, we end up with 50.
Fetch the next digit (4) from the dividend, attach it to 50 and continue: 504 / 91

Moving on to step 5:
The number 91 fits into 504 5 times, leaving a remainder of 49.
Put 5 as the next digit of the answer. 
Result so far: 865.0
Subtract 455 from 504 to get 49.
Include the next digit (3) from the dividend after 49, then repeat: 493 / 91

Going ahead to step 6:
If we divide 493 by 91, we get 5 and a remainder of 38.
Write down 5 as next digit of the result. 
Result so far: 8655.0
Deduct 455 from 493 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 7:
If we divide 380 by 91, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 8655.4
If we subtract 364 from 380, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
160 divided by 91 is 1 with a remainder of 69.
The number 1 becomes the next digit in our result. 
Result so far: 8655.41
Deduct 91 from 160 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 9:
When dividing 690 by 91, we get 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 8655.417
Deduct 637 from 690 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 10:
When dividing 530 by 91, we get 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 8655.4175
The remainder is 75 after subtracting 455 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Let's proceed to step 11:
When dividing 750 by 91, we get 8 with a remainder of 22.
Record the quotient 8 as the next digit in the result. 
Result so far: 8655.41758
Deduct 728 from 750 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 12:
91 can be fit into 220 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 8655.417582
If we take 182 away from 220, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 13:
380 divided by 91 is 4 with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 8655.4175824
Subtracting 364 from 380 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 14:
If we divide 160 by 91, we get 1 and a remainder of 69.
Write down 1 as next digit of the result. 
Result so far: 8655.41758241
Deduct 91 from 160 and we're left with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

In conclusion, the division gives 8655.41758241 with a balance of 6.9e-08.