We're dividing 101079 by 91 
We're looking to find how many times 91 goes into 101079.

Let's proceed to step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 91

Advancing to step 2:
The number 91 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 91

Advancing to step 3:
91 can be fit into 101 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 91 from 101 leaves us with 10.
Bring next digit (0) of the dividend behind the 10 and repeat the process: 100 / 91

On to step 4:
When dividing 100 by 91, we get 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 91 away from 100, we end up with 9.
Take the next digit (7) from the dividend and append it to 9, then repeat: 97 / 91

On to step 5:
97 divided by 91 is 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 111.0
Deduct 91 from 97 and we're left with 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 91

Moving on to step 6:
The number 91 fits into 69 0 times, leaving a remainder of 69.
The next digit of our result is 0. 
Result so far: 1110.0
Subtracting 0 from 69 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 7:
91 can be fit into 690 7 times, resulting in a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1110.7
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.

Let's proceed to step 8:
When dividing 530 by 91, we get 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 1110.75
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 9:
When dividing 750 by 91, we get 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 1110.758
If we take 728 away from 750, we end up 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.

Step 10:
91 goes into 220 2 times with a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 1110.7582
Deduct 182 from 220 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.

On to step 11:
If we divide 380 by 91, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 1110.75824
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.

Advancing to step 12:
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: 1110.758241
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.

Step 13:
The number 91 fits into 690 7 times, leaving a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1110.7582417
If we subtract 637 from 690, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 14:
If we divide 530 by 91, we get 5 and a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 1110.75824175
Subtracting 455 from 530 leaves us with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Our division results in 1110.75824175 with a remaining 7.5e-08.