91183769 divided by 13 
Our goal is to divide 91183769 by 13.

Step 1:
9 divided by 13 is 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 13

On to step 2:
13 can be fit into 91 7 times, resulting in a remainder of 0.
The next digit of our result is 7. 
Result so far: 7.0
The remainder is 0 after subtracting 91 from 91.
Append the next digit (1) from the dividend to 0 and continue with: 1 / 13

Step 3:
13 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
If we subtract 0 from 1, we get 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 13

Advancing to step 4:
13 goes into 18 1 times with a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 701.0
The remainder is 5 after subtracting 13 from 18.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 13

Step 5:
The number 13 fits into 53 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 7014.0
Subtract 52 from 53 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 13

Step 6:
17 divided by 13 is 1 with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 70141.0
If we take 13 away from 17, we end up with 4.
Append the next digit (6) from the dividend to 4 and continue with: 46 / 13

Let's proceed to step 7:
13 goes into 46 3 times with a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 701413.0
Subtracting 39 from 46 leaves us with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 13

On to step 8:
When dividing 79 by 13, we get 6 with a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 7014136.0
If we take 78 away from 79, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7014136.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
100 divided by 13 is 7 with a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 7014136.07
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
90 divided by 13 is 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 7014136.076
Deduct 78 from 90 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 12:
If we divide 120 by 13, we get 9 and a remainder of 3.
The next digit of our result is 9. 
Result so far: 7014136.0769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
The next digit of our result is 2. 
Result so far: 7014136.07692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
40 divided by 13 is 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 7014136.076923
Subtracting 39 from 40 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 15:
13 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7014136.076923
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 16:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 7014136.07692307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 7014136.07692307 and a remainder of 9e-09.