Let's divide 977105 by 91
We want to divide 977105 by 91.

On to step 1:
When dividing 9 by 91, we get 0 with a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 91

Going ahead to step 2:
91 goes into 97 1 times with a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 91 from 97, we get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 91

Step 3:
91 goes into 67 0 times with a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 67, we end up with 67.
Bring next digit (1) of the dividend behind the 67 and repeat the process: 671 / 91

Moving on to step 4:
When dividing 671 by 91, we get 7 with a remainder of 34.
The next digit of our result is 7. 
Result so far: 107.0
Deduct 637 from 671 and we're left with 34.
Include the next digit (0) from the dividend after 34, then repeat: 340 / 91

On to step 5:
If we divide 340 by 91, we get 3 and a remainder of 67.
The number 3 becomes the next digit in our result. 
Result so far: 1073.0
If we subtract 273 from 340, we get 67.
Take the next digit (5) from the dividend and append it to 67, then repeat: 675 / 91

On to step 6:
91 can be fit into 675 7 times, resulting in a remainder of 38.
The next digit of our result is 7. 
Result so far: 10737.0
If we take 637 away from 675, 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.

Advancing to step 7:
If we divide 380 by 91, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 10737.4
Deduct 364 from 380 and we're left 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.

Going ahead to step 8:
91 goes into 160 1 times with a remainder of 69.
Record the quotient 1 as the next digit in the result. 
Result so far: 10737.41
Subtracting 91 from 160 leaves us 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.

Advancing to step 9:
91 goes into 690 7 times with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 10737.417
Subtracting 637 from 690 leaves us 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.
Use 5 as the next digit of our solution. 
Result so far: 10737.4175
If we subtract 455 from 530, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 11:
When dividing 750 by 91, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 10737.41758
If we subtract 728 from 750, we get 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:
If we divide 220 by 91, we get 2 and a remainder of 38.
The next digit of our result is 2. 
Result so far: 10737.417582
Subtract 182 from 220 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 13:
91 goes into 380 4 times with a remainder of 16.
The number 4 becomes the next digit in our result. 
Result so far: 10737.4175824
Deduct 364 from 380 and we're left 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.

Moving on to step 14:
91 can be fit into 160 1 times, resulting in a remainder of 69.
Write down 1 as next digit of the result. 
Result so far: 10737.41758241
If we subtract 91 from 160, we get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

The quotient of the division is 10737.41758241, and the remainder is 6.9e-08.